%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP483-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:36:42 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP483-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:15:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f1,axiom,(
% 0.11/0.42 (![A,B,C,D]: (double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f2,axiom,(
% 0.11/0.42 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f3,axiom,(
% 0.11/0.42 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f4,axiom,(
% 0.11/0.42 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f5,negated_conjecture,(
% 0.11/0.42 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f6,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1)=X2)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.42 fof(f7,plain,(
% 0.11/0.42 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.42 fof(f8,plain,(
% 0.11/0.42 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.42 fof(f9,plain,(
% 0.11/0.42 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.42 fof(f10,plain,(
% 0.11/0.42 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.42 fof(f16,plain,(
% 0.11/0.42 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.11/0.42 fof(f17,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1)=X2)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.11/0.42 fof(f18,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1)=X2)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f8,f17])).
% 0.11/0.42 fof(f19,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,inverse(X3))),inverse(X0))),X1)=X2)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f8,f18])).
% 0.11/0.42 fof(f20,plain,(
% 0.11/0.42 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,identity),inverse(X0))),X1)=X2)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f9,f19])).
% 0.11/0.42 fof(f21,plain,(
% 0.11/0.42 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1)=X2)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f8,f20])).
% 0.11/0.42 fof(f22,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.11/0.42 fof(f23,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.11/0.42 fof(f103,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,double_divide(inverse(X1),inverse(double_divide(double_divide(X2,inverse(inverse(X3))),double_divide(inverse(X0),inverse(X2)))))),X3)=X1)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f21,f21])).
% 0.11/0.42 fof(f104,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),X1)=X0)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f9,f21])).
% 0.11/0.42 fof(f108,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1)=X0)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f9,f21])).
% 0.11/0.42 fof(f121,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,inverse(inverse(X3)))))),X3)=X1)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f16,f103])).
% 0.11/0.42 fof(f122,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,multiply(identity,X3))))),X3)=X1)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f23,f121])).
% 0.11/0.42 fof(f123,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1)=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f8,f108])).
% 0.11/0.42 fof(f124,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X0)=X1)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f16,f123])).
% 0.11/0.42 fof(f132,plain,(
% 0.11/0.42 ![X0]: (double_divide(inverse(identity),inverse(X0))=X0)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f22,f124])).
% 0.11/0.42 fof(f138,plain,(
% 0.11/0.42 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(X1,X2)),X0)=double_divide(X2,X1))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f16,f124])).
% 0.11/0.42 fof(f151,plain,(
% 0.11/0.42 identity=inverse(identity)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f9,f132])).
% 0.11/0.42 fof(f161,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),inverse(identity))=inverse(X0))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f132,f16])).
% 0.11/0.42 fof(f162,plain,(
% 0.11/0.42 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f151,f132])).
% 0.11/0.42 fof(f183,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),identity)=inverse(X0))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f151,f161])).
% 0.11/0.42 fof(f191,plain,(
% 0.11/0.42 ![X0]: (double_divide(multiply(inverse(X0),identity),X0)=identity)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f151,f124])).
% 0.11/0.42 fof(f193,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(X1),identity)),X0)=X1)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f151,f21])).
% 0.11/0.42 fof(f200,plain,(
% 0.11/0.42 ![X0]: (double_divide(inverse(X0),X0)=identity)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f183,f191])).
% 0.11/0.42 fof(f204,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),identity)),X0)=X1)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f162,f193])).
% 0.11/0.42 fof(f205,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(X0,inverse(inverse(X1))),X0)=X1)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f8,f204])).
% 0.11/0.42 fof(f206,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(X0,multiply(identity,X1)),X0)=X1)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f23,f205])).
% 0.11/0.42 fof(f253,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(multiply(X0,X1),double_divide(X1,X0))=identity)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f16,f200])).
% 0.11/0.42 fof(f254,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(double_divide(X0,inverse(X1)),identity),X1)=inverse(X0))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f200,f21])).
% 0.11/0.42 fof(f262,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(inverse(double_divide(X0,inverse(X1))),X1)=inverse(X0))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f8,f254])).
% 0.11/0.42 fof(f263,plain,(
% 0.11/0.42 ![X0]: (inverse(inverse(X0))=X0)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f265,f124])).
% 0.11/0.42 fof(f264,plain,(
% 0.11/0.42 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f265,f138])).
% 0.11/0.42 fof(f265,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),X0)=inverse(X1))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f16,f262])).
% 0.11/0.42 fof(f272,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f263,f23])).
% 0.11/0.42 fof(f289,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f272,f206])).
% 0.11/0.42 fof(f294,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,X3)))),X3)=X1)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f272,f122])).
% 0.11/0.42 fof(f306,plain,(
% 0.11/0.42 ![X0]: (double_divide(double_divide(identity,identity),X0)=inverse(X0))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f200,f104])).
% 0.11/0.42 fof(f320,plain,(
% 0.11/0.42 ![X0]: (double_divide(inverse(identity),X0)=inverse(X0))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f8,f306])).
% 0.11/0.42 fof(f324,plain,(
% 0.11/0.42 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f151,f320])).
% 0.11/0.42 fof(f373,plain,(
% 0.11/0.42 ![X0]: (inverse(double_divide(identity,X0))=X0)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f8,f289])).
% 0.11/0.42 fof(f376,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f289,f289])).
% 0.11/0.42 fof(f381,plain,(
% 0.11/0.42 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f289,f16])).
% 0.11/0.42 fof(f384,plain,(
% 0.11/0.42 ![X0]: (multiply(X0,identity)=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f16,f373])).
% 0.11/0.42 fof(f495,plain,(
% 0.11/0.42 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f376,f16])).
% 0.11/0.42 fof(f756,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(inverse(X0),X1)=inverse(double_divide(inverse(X1),X0)))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f381,f265])).
% 0.11/0.42 fof(f766,plain,(
% 0.11/0.42 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f265,f495])).
% 0.11/0.42 fof(f778,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(inverse(X0),X1)=multiply(X0,inverse(X1)))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f16,f756])).
% 0.11/0.42 fof(f791,plain,(
% 0.11/0.42 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f264,f766])).
% 0.11/0.42 fof(f852,plain,(
% 0.11/0.42 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(X1,X2))=multiply(X0,double_divide(X2,X1)))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f264,f778])).
% 0.11/0.42 fof(f853,plain,(
% 0.11/0.42 ![X0,X1]: (double_divide(inverse(X0),inverse(X1))=multiply(X0,X1))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f263,f778])).
% 0.11/0.42 fof(f867,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,X3),double_divide(inverse(X0),inverse(X2))))),X3)=X1)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f852,f294])).
% 0.11/0.42 fof(f889,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,X3),multiply(X0,X2)))),X3)=X1)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f853,f867])).
% 0.11/0.42 fof(f952,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=double_divide(double_divide(X1,X0),inverse(X2)))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f16,f791])).
% 0.11/0.42 fof(f1046,plain,(
% 0.11/0.42 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(X1,double_divide(identity,multiply(X0,X2)))),inverse(X2))=X1)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f9,f889])).
% 0.11/0.42 fof(f1102,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(multiply(X0,double_divide(identity,multiply(X1,X2))),X1),X2)=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f952,f1046])).
% 0.11/0.42 fof(f1103,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(multiply(X1,X2))),X1),X2)=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f324,f1102])).
% 0.11/0.42 fof(f1104,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(double_divide(inverse(X0),multiply(X1,X2)),X1),X2)=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f778,f1103])).
% 0.11/0.42 fof(f1105,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(multiply(X0,double_divide(X1,X2)),X2),X1)=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f852,f1104])).
% 0.11/0.42 fof(f1156,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(multiply(X0,double_divide(double_divide(X2,X1),X3)),X3))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f1105,f1105])).
% 0.11/0.42 fof(f1161,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(multiply(X0,identity),double_divide(X1,X2)),multiply(X2,X1))=X0)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f253,f1105])).
% 0.11/0.42 fof(f1191,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(X0,double_divide(X1,X2)),multiply(X2,X1))=X0)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f384,f1161])).
% 0.11/0.42 fof(f1222,plain,(
% 0.11/0.42 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,double_divide(double_divide(X2,X1),X3)),X3))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f1105,f1191])).
% 0.11/0.42 fof(f1251,plain,(
% 0.11/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f1222,f1156])).
% 0.11/0.42 fof(f1305,plain,(
% 0.11/0.42 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f1251,f10])).
% 0.11/0.43 fof(f1329,plain,(
% 0.11/0.43 $false),
% 0.11/0.43 inference(trivial_equality_resolution,[status(thm)],[f1305])).
% 0.11/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 9.44/1.65 % Elapsed time: 1.053421 seconds
% 9.44/1.65 % CPU time: 0.221890 seconds
% 9.44/1.65 % Total memory used: 8.768 MB
% 9.44/1.65 % Net memory used: 8.492 MB
%------------------------------------------------------------------------------