%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP509-1 : 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 : n009.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 12:36:44 PM UTC 2026
% Result : Unsatisfiable 0.01s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP509-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.01/0.35 % Computer : n009.cluster.edu
% 0.01/0.35 % Model : x86_64 x86_64
% 0.01/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.01/0.35 % Memory : 8046.5625MB
% 0.01/0.35 % OS : Linux 6.8.0-71-generic
% 0.01/0.35 % CPULimit : 300
% 0.01/0.35 % WCLimit : 300
% 0.01/0.35 % DateTime : Sun Sep 20 20:15:29 UTC 2026
% 0.01/0.36 % CPUTime :
% 0.01/0.36 % Drodi V4.1.1
% 0.01/0.39 % Refutation found
% 0.01/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.01/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.01/0.39 fof(f1,axiom,(
% 0.01/0.39 (![A,B,C]: (multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))) = B ))),
% 0.01/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.01/0.39 fof(f2,negated_conjecture,(
% 0.01/0.39 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.01/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.01/0.39 fof(f3,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2)))=X1)),
% 0.01/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.01/0.39 fof(f4,plain,(
% 0.01/0.39 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.01/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.01/0.39 fof(f10,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2)))))=X2)),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.01/0.39 fof(f11,plain,(
% 0.01/0.39 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(multiply(multiply(X2,X0),X3),X1)))=inverse(multiply(X2,X3)))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.01/0.39 fof(f12,plain,(
% 0.01/0.39 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,X1),X2),X3),inverse(multiply(X0,X2))),inverse(X1))=X3)),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.01/0.39 fof(f16,plain,(
% 0.01/0.39 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(X2))))=inverse(multiply(multiply(X3,X1),inverse(multiply(X3,X2)))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.01/0.39 fof(f17,plain,(
% 0.01/0.39 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,inverse(multiply(multiply(X2,multiply(X1,X3)),inverse(multiply(X2,X0)))))))=X3)),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f10,f3])).
% 0.01/0.39 fof(f19,plain,(
% 0.01/0.39 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X0)))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f10,f3])).
% 0.01/0.39 fof(f20,plain,(
% 0.01/0.39 ![X0,X1,X2]: (X0=inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X1,X2),X0))))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f10,f11])).
% 0.01/0.39 fof(f29,plain,(
% 0.01/0.39 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=inverse(multiply(X3,inverse(multiply(multiply(X4,multiply(X3,X0)),inverse(multiply(X4,X2)))))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f10,f11])).
% 0.01/0.39 fof(f57,plain,(
% 0.01/0.39 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(multiply(multiply(multiply(X2,X1),X3),inverse(multiply(X2,X3)))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f12,f11])).
% 0.01/0.39 fof(f69,plain,(
% 0.01/0.39 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 0.01/0.39 inference(forward_demodulation,[status(thm)],[f3,f57])).
% 0.01/0.39 fof(f74,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),X2)))=inverse(multiply(X1,X2)))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f3,f69])).
% 0.01/0.39 fof(f75,plain,(
% 0.01/0.39 ![X0,X1]: (multiply(inverse(X0),inverse(multiply(X1,inverse(X0))))=inverse(X1))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f69,f69])).
% 0.01/0.39 fof(f77,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(X0,inverse(X1))=inverse(multiply(multiply(X2,X1),inverse(multiply(X2,X0)))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f10,f69])).
% 0.01/0.39 fof(f79,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X0)))),inverse(X2))=inverse(multiply(X1,X2)))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f69,f12])).
% 0.01/0.39 fof(f82,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),inverse(multiply(inverse(X0),X1)))=inverse(multiply(X2,inverse(X2))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f69,f11])).
% 0.01/0.39 fof(f96,plain,(
% 0.01/0.39 ![X0,X1,X2]: (inverse(multiply(X0,inverse(X1)))=inverse(multiply(multiply(X2,X0),inverse(multiply(X2,X1)))))),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f74,f16])).
% 0.01/0.39 fof(f97,plain,(
% 0.01/0.39 ![X0,X1]: (X0=inverse(multiply(X1,inverse(multiply(X1,X0)))))),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f74,f20])).
% 0.01/0.39 fof(f105,plain,(
% 0.01/0.39 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=inverse(multiply(X3,multiply(X2,inverse(multiply(X3,X0))))))),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f77,f29])).
% 0.01/0.39 fof(f106,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,multiply(X0,inverse(multiply(X1,X2))))))=X2)),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f77,f17])).
% 0.01/0.39 fof(f110,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(X0,inverse(X2)))),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f77,f19])).
% 0.01/0.39 fof(f115,plain,(
% 0.01/0.39 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 0.01/0.39 inference(forward_demodulation,[status(thm)],[f75,f79])).
% 0.01/0.39 fof(f127,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(X0,inverse(X1))=multiply(multiply(X2,X0),inverse(multiply(X2,X1))))),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f134,f77])).
% 0.01/0.39 fof(f131,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),inverse(multiply(inverse(X0),X1)))=multiply(X2,inverse(X2)))),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f134,f82])).
% 0.01/0.39 fof(f134,plain,(
% 0.01/0.39 ![X0,X1]: (inverse(multiply(X0,inverse(X1)))=multiply(X1,inverse(X0)))),
% 0.01/0.39 inference(forward_demodulation,[status(thm)],[f77,f96])).
% 0.01/0.39 fof(f136,plain,(
% 0.01/0.39 ![X0,X1]: (X0=multiply(multiply(X1,X0),inverse(X1)))),
% 0.01/0.39 inference(forward_demodulation,[status(thm)],[f134,f97])).
% 0.01/0.39 fof(f159,plain,(
% 0.01/0.39 ![X0,X1,X2]: (multiply(X0,inverse(X1))=inverse(multiply(X2,multiply(X1,inverse(multiply(X2,X0))))))),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f110,f105])).
% 0.01/0.39 fof(f179,plain,(
% 0.01/0.39 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 0.01/0.39 inference(forward_demodulation,[status(thm)],[f127,f131])).
% 0.01/0.39 fof(f208,plain,(
% 0.01/0.39 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.01/0.39 inference(backward_demodulation,[status(thm)],[f159,f106])).
% 0.01/0.39 fof(f218,plain,(
% 0.01/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f136,f136])).
% 0.01/0.39 fof(f226,plain,(
% 0.01/0.39 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f179,f208])).
% 0.01/0.39 fof(f238,plain,(
% 0.01/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))))),
% 0.01/0.39 inference(paramodulation,[status(thm)],[f218,f218])).
% 0.01/0.39 fof(f245,plain,(
% 0.01/0.39 ![X0,X1]: (inverse(X0)=inverse(multiply(multiply(X1,X0),inverse(X1))))),
% 0.01/0.40 inference(forward_demodulation,[status(thm)],[f115,f238])).
% 0.01/0.40 fof(f247,plain,(
% 0.01/0.40 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X1,X0))))),
% 0.01/0.40 inference(forward_demodulation,[status(thm)],[f134,f245])).
% 0.01/0.40 fof(f253,plain,(
% 0.01/0.40 ![X0,X1]: (inverse(inverse(multiply(X0,X1)))=multiply(X1,inverse(inverse(X0))))),
% 0.01/0.40 inference(paramodulation,[status(thm)],[f218,f247])).
% 0.01/0.40 fof(f254,plain,(
% 0.01/0.40 ![X0,X1]: (inverse(inverse(X0))=multiply(X0,inverse(multiply(X1,inverse(X1)))))),
% 0.01/0.40 inference(paramodulation,[status(thm)],[f179,f247])).
% 0.01/0.40 fof(f264,plain,(
% 0.01/0.40 ![X0,X1]: (inverse(inverse(X0))=multiply(X0,multiply(X1,inverse(X1))))),
% 0.01/0.40 inference(forward_demodulation,[status(thm)],[f134,f254])).
% 0.01/0.40 fof(f265,plain,(
% 0.01/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(X1,inverse(inverse(X0))))),
% 0.01/0.40 inference(backward_demodulation,[status(thm)],[f269,f253])).
% 0.01/0.40 fof(f269,plain,(
% 0.01/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.01/0.40 inference(forward_demodulation,[status(thm)],[f226,f264])).
% 0.01/0.40 fof(f277,plain,(
% 0.01/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.01/0.40 inference(forward_demodulation,[status(thm)],[f269,f265])).
% 0.01/0.40 fof(f280,plain,(
% 0.01/0.40 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 0.01/0.40 inference(paramodulation,[status(thm)],[f269,f179])).
% 0.01/0.40 fof(f610,plain,(
% 0.01/0.40 ~multiply(a1,inverse(a1))=multiply(inverse(b1),b1)),
% 0.01/0.40 inference(paramodulation,[status(thm)],[f277,f4])).
% 0.01/0.40 fof(f630,plain,(
% 0.01/0.40 $false),
% 0.01/0.40 inference(forward_subsumption_resolution,[status(thm)],[f610,f280])).
% 0.01/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.01/0.41 % Elapsed time: 0.045962 seconds
% 0.01/0.41 % CPU time: 0.241379 seconds
% 0.01/0.41 % Total memory used: 11.029 MB
% 0.01/0.41 % Net memory used: 10.281 MB
%------------------------------------------------------------------------------