%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP515-1 : 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 : n026.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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP515-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n026.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Sun Sep 20 20:18:09 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 0.15/0.59 % Refutation found
% 0.15/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.59 fof(f1,axiom,(
% 0.15/0.59 (![A,B,C]: (multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B ))),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f2,negated_conjecture,(
% 0.15/0.59 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f3,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))=X1)),
% 0.15/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.59 fof(f4,plain,(
% 0.15/0.59 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.15/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.59 fof(f10,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2)))))))=X3)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.15/0.59 fof(f11,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2)))=X1)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.15/0.59 fof(f12,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f3,f10])).
% 0.15/0.59 fof(f20,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f12,f10])).
% 0.15/0.59 fof(f49,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(X1)))=multiply(X0,X2))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f20,f11])).
% 0.15/0.59 fof(f50,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1))))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f20,f10])).
% 0.15/0.59 fof(f62,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X0,multiply(multiply(X1,X3),inverse(multiply(X2,X3)))))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f3,f49])).
% 0.15/0.59 fof(f148,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(multiply(X1,multiply(X0,inverse(X2))))))=X2)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f20,f50])).
% 0.15/0.59 fof(f150,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),multiply(multiply(X3,X2),inverse(X3)))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f50,f50])).
% 0.15/0.59 fof(f152,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,inverse(X1)))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f20,f50])).
% 0.15/0.59 fof(f158,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2)=X0)),
% 0.15/0.59 inference(forward_demodulation,[status(thm)],[f49,f150])).
% 0.15/0.59 fof(f171,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f158,f49])).
% 0.15/0.59 fof(f172,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f158,f20])).
% 0.15/0.59 fof(f198,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X0,multiply(X3,inverse(multiply(X3,multiply(X2,inverse(X1)))))))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f148,f49])).
% 0.15/0.59 fof(f225,plain,(
% 0.15/0.59 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X3)))))))),X3)=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f158,f171])).
% 0.15/0.59 fof(f233,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f171,f158])).
% 0.15/0.59 fof(f240,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(multiply(X0,multiply(multiply(X1,inverse(X2)),inverse(X1))),X2)=X0)),
% 0.15/0.59 inference(forward_demodulation,[status(thm)],[f198,f225])).
% 0.15/0.59 fof(f241,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.15/0.59 inference(forward_demodulation,[status(thm)],[f49,f240])).
% 0.15/0.59 fof(f266,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X0,inverse(multiply(X2,inverse(X1)))))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f241,f152])).
% 0.15/0.59 fof(f280,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,multiply(X0,inverse(X2)))))),
% 0.15/0.59 inference(backward_demodulation,[status(thm)],[f266,f172])).
% 0.15/0.59 fof(f290,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.15/0.59 inference(forward_demodulation,[status(thm)],[f20,f280])).
% 0.15/0.59 fof(f294,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(X0)))=multiply(X2,X1))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f20,f62])).
% 0.15/0.59 fof(f373,plain,(
% 0.15/0.59 ![X0,X1]: (X0=multiply(multiply(X1,inverse(X1)),X0))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f12,f290])).
% 0.15/0.59 fof(f383,plain,(
% 0.15/0.59 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f290,f4])).
% 0.15/0.59 fof(f390,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f290,f20])).
% 0.15/0.59 fof(f433,plain,(
% 0.15/0.59 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f233,f373])).
% 0.15/0.59 fof(f529,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f433,f390])).
% 0.15/0.59 fof(f780,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(inverse(X2))))=multiply(X1,multiply(X2,X0)))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f529,f294])).
% 0.15/0.59 fof(f825,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X2,X0)))),
% 0.15/0.59 inference(forward_demodulation,[status(thm)],[f433,f780])).
% 0.15/0.59 fof(f826,plain,(
% 0.15/0.59 $false),
% 0.15/0.59 inference(backward_subsumption_resolution,[status(thm)],[f383,f825])).
% 0.15/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.60 % Elapsed time: 0.054022 seconds
% 0.15/0.60 % CPU time: 0.200313 seconds
% 0.15/0.60 % Total memory used: 7.568 MB
% 0.15/0.60 % Net memory used: 7.320 MB
%------------------------------------------------------------------------------