%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP080-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:35:36 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP080-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 19:56:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X,Y,Z]: (double_divide(double_divide(identity,double_divide(X,double_divide(Y,identity))),double_divide(double_divide(Y,double_divide(Z,X)),identity)) = Z ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X,Y]: (multiply(X,Y) = double_divide(double_divide(Y,X),identity) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X]: (inverse(X) = double_divide(X,identity) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (![X]: (identity = double_divide(X,inverse(X)) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity))=X2)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f11,definition,(
% 0.13/0.39 sQ0_spl <=> (multiply(inverse(a1),a1)=identity)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ~multiply(inverse(a1),a1)=identity|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f11])).
% 0.13/0.39 fof(f14,definition,(
% 0.13/0.39 sQ1_spl <=> (multiply(identity,a2)=a2)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ~multiply(identity,a2)=a2|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f14])).
% 0.13/0.39 fof(f17,definition,(
% 0.13/0.39 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f17])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f10,f11,f14,f17])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),multiply(double_divide(X2,X0),X1))=X2)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1))=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f21])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f22])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f8,f22])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f22,f9])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,identity),multiply(double_divide(X0,X1),X1))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f23])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(X0,multiply(X1,X2))),multiply(double_divide(X3,X0),double_divide(X2,X1)))=X3)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f22,f23])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(multiply(double_divide(X0,X1),X2),inverse(X3))),multiply(X0,X3))=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f23,f23])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),multiply(identity,X1))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f23])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(inverse(X1),X0))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f8,f23])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(double_divide(X0,X1),X2),double_divide(identity,double_divide(X1,inverse(X2))))=inverse(X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f23,f22])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(inverse(identity),multiply(double_divide(X0,X1),X1))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f28])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,double_divide(X0,X1))=inverse(multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f22,f25])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 identity=inverse(identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f23,f26])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f40,f24])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(identity,multiply(double_divide(X0,X1),X1))=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f40,f34])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 multiply(identity,identity)=inverse(identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f40,f25])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(X0,identity)),multiply(double_divide(X1,X0),identity))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f40,f23])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 multiply(identity,identity)=identity),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f40,f58])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,inverse(X0)),multiply(double_divide(X1,X0),identity))=X1)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f59])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(identity,double_divide(multiply(double_divide(X0,X1),X2),multiply(X3,X4))),multiply(X0,double_divide(X4,X3)))=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f23,f29])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(multiply(identity,X0),inverse(X1))),multiply(X2,X1))=double_divide(identity,double_divide(inverse(X2),inverse(X0))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f30])).
% 0.13/0.39 fof(f109,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(multiply(double_divide(X0,X1),X2),identity)),multiply(X0,identity))=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f40,f30])).
% 0.13/0.39 fof(f118,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(identity,double_divide(multiply(double_divide(X0,X2),X3),inverse(X1))))=inverse(double_divide(identity,double_divide(X2,inverse(X3)))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f30,f22])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,inverse(multiply(double_divide(X0,X1),X2))),multiply(X0,identity))=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f109])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(identity,double_divide(multiply(double_divide(X0,X2),X3),inverse(X1))))=multiply(double_divide(X2,inverse(X3)),identity))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f22,f118])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(multiply(double_divide(identity,X0),X1),inverse(identity))),identity)=double_divide(identity,double_divide(X0,inverse(X1))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f61,f30])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(double_divide(identity,double_divide(multiply(double_divide(identity,X0),X1),inverse(identity))))=double_divide(identity,double_divide(X0,inverse(X1))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f129])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(double_divide(multiply(double_divide(identity,X0),X1),inverse(identity)),identity)=double_divide(identity,double_divide(X0,inverse(X1))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f22,f132])).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(double_divide(multiply(double_divide(identity,X0),X1),identity),identity)=double_divide(identity,double_divide(X0,inverse(X1))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f40,f133])).
% 0.13/0.39 fof(f135,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(inverse(multiply(double_divide(identity,X0),X1)),identity)=double_divide(identity,double_divide(X0,inverse(X1))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f134])).
% 0.13/0.39 fof(f141,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,identity),multiply(identity,inverse(X0)))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f31])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(multiply(identity,X0),inverse(X1))),multiply(identity,X1))=inverse(X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f25,f31])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(inverse(X0),identity)),multiply(identity,identity))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f40,f31])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(multiply(identity,X0),multiply(X1,X2))),multiply(X3,double_divide(X2,X1)))=double_divide(identity,double_divide(inverse(X3),inverse(X0))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f31,f29])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 ![X0]: (double_divide(inverse(identity),multiply(identity,inverse(X0)))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f141])).
% 0.13/0.39 fof(f157,plain,(
% 0.13/0.39 ![X0]: (double_divide(identity,multiply(identity,inverse(X0)))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f40,f156])).
% 0.13/0.39 fof(f158,plain,(
% 0.13/0.39 ![X0]: (double_divide(identity,double_divide(inverse(identity),inverse(X0)))=inverse(X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f107,f143])).
% 0.13/0.39 fof(f161,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(inverse(X0),multiply(inverse(X1),X0))=X1)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f162,f32])).
% 0.13/0.39 fof(f162,plain,(
% 0.13/0.39 ![X0]: (double_divide(identity,double_divide(identity,inverse(X0)))=inverse(X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f40,f158])).
% 0.13/0.39 fof(f163,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),multiply(identity,identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f145])).
% 0.13/0.39 fof(f164,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,multiply(identity,X0)),multiply(identity,identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f25,f163])).
% 0.13/0.39 fof(f165,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,multiply(identity,X0)),identity)=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f61,f164])).
% 0.13/0.39 fof(f166,plain,(
% 0.13/0.39 ![X0]: (inverse(double_divide(identity,multiply(identity,X0)))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f165])).
% 0.13/0.39 fof(f167,plain,(
% 0.13/0.39 ![X0]: (multiply(multiply(identity,X0),identity)=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f22,f166])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(identity,double_divide(multiply(identity,X2),inverse(X1))))=inverse(double_divide(identity,double_divide(inverse(X0),inverse(X2)))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f31,f33])).
% 0.13/0.39 fof(f198,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(identity,double_divide(multiply(identity,X2),inverse(X1))))=multiply(double_divide(inverse(X0),inverse(X2)),identity))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f22,f184])).
% 0.13/0.39 fof(f244,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(identity,multiply(X0,multiply(identity,X1)))=double_divide(identity,double_divide(inverse(X0),inverse(X1))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f31,f51])).
% 0.13/0.39 fof(f248,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(identity,multiply(identity,multiply(X0,X1)))=double_divide(X1,X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f26,f51])).
% 0.13/0.39 fof(f325,plain,(
% 0.13/0.39 ![X0]: (double_divide(inverse(X0),identity)=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f49,f161])).
% 0.13/0.39 fof(f328,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(multiply(X1,X2),X0))=double_divide(X2,X1))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f22,f161])).
% 0.13/0.39 fof(f339,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f340,f25])).
% 0.13/0.39 fof(f340,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f325])).
% 0.13/0.39 fof(f348,plain,(
% 0.13/0.39 ![X0]: (multiply(X0,identity)=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f167])).
% 0.13/0.39 fof(f349,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),X1)=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f31])).
% 0.13/0.39 fof(f350,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(identity,multiply(X0,X1))=double_divide(X1,X0))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f248])).
% 0.13/0.39 fof(f351,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X1,X0)))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f36])).
% 0.13/0.39 fof(f354,plain,(
% 0.13/0.39 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f157])).
% 0.13/0.39 fof(f359,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(identity,multiply(X0,X1))=double_divide(identity,double_divide(inverse(X0),inverse(X1))))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f244])).
% 0.13/0.39 fof(f362,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(identity,double_divide(X2,inverse(X1))))=multiply(double_divide(inverse(X0),inverse(X2)),identity))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f198])).
% 0.13/0.39 fof(f367,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(X0,multiply(X1,X2))),multiply(X3,double_divide(X2,X1)))=double_divide(identity,double_divide(inverse(X3),inverse(X0))))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f339,f152])).
% 0.13/0.39 fof(f373,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(multiply(double_divide(identity,X0),X1))=double_divide(identity,double_divide(X0,inverse(X1))))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f348,f135])).
% 0.13/0.39 fof(f379,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(identity,double_divide(multiply(double_divide(X0,X2),X3),inverse(X1))))=double_divide(X2,inverse(X3)))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f348,f128])).
% 0.13/0.39 fof(f381,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,inverse(X0)),double_divide(X1,X0))=X1)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f348,f62])).
% 0.13/0.39 fof(f383,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,inverse(multiply(double_divide(X0,X1),X2))),X0)=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f348,f123])).
% 0.13/0.39 fof(f393,plain,(
% 0.13/0.39 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f354,f162])).
% 0.13/0.39 fof(f395,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f397,f349])).
% 0.13/0.39 fof(f397,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,X1)=double_divide(identity,double_divide(inverse(X1),inverse(X0))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f350,f359])).
% 0.13/0.39 fof(f400,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(identity,double_divide(X2,inverse(X1))))=double_divide(inverse(X0),inverse(X2)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f348,f362])).
% 0.13/0.39 fof(f405,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(multiply(double_divide(X0,X1),X2),X0)=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f407,f68])).
% 0.13/0.39 fof(f407,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(X0,multiply(X1,X2))),multiply(X3,double_divide(X2,X1)))=double_divide(X0,X3))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f397,f367])).
% 0.13/0.39 fof(f425,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,double_divide(identity,X1))=double_divide(identity,double_divide(X1,inverse(X0))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f351,f373])).
% 0.13/0.39 fof(f431,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(X0),inverse(multiply(double_divide(X0,X1),X2)))=double_divide(X1,inverse(X2)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f400,f379])).
% 0.13/0.39 fof(f432,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2)))=double_divide(X2,inverse(X1)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f351,f431])).
% 0.13/0.39 fof(f435,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f354,f381])).
% 0.13/0.39 fof(f436,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(multiply(double_divide(X0,X1),X2),X0)=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f354,f383])).
% 0.13/0.39 fof(f437,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(multiply(double_divide(X0,X1),X2),X0)=double_divide(X2,double_divide(identity,X1)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f425,f436])).
% 0.13/0.39 fof(f464,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,double_divide(identity,X1))=double_divide(identity,double_divide(X1,inverse(X0))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f437,f405])).
% 0.13/0.39 fof(f465,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,inverse(X1))=double_divide(identity,double_divide(X1,inverse(X0))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f393,f464])).
% 0.13/0.39 fof(f466,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,inverse(X1))=inverse(double_divide(X1,inverse(X0))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f393,f465])).
% 0.13/0.39 fof(f473,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(inverse(X0),X1))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f22,f466])).
% 0.13/0.39 fof(f588,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(X2))=multiply(multiply(X1,X0),X2))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f328,f395])).
% 0.13/0.39 fof(f697,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(X1,X2))=double_divide(double_divide(X2,X0),inverse(X1)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f435,f432])).
% 0.13/0.39 fof(f698,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(inverse(X0),double_divide(X1,identity))=double_divide(inverse(X0),inverse(X1)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f432])).
% 0.13/0.39 fof(f732,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(X1,X2))=multiply(multiply(X0,X2),X1))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f588,f697])).
% 0.13/0.39 fof(f733,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(multiply(X0,identity),X1)=double_divide(inverse(X0),inverse(X1)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f732,f698])).
% 0.13/0.39 fof(f735,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=double_divide(inverse(X0),inverse(X1)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f348,f733])).
% 0.13/0.39 fof(f1344,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=double_divide(inverse(X0),double_divide(X2,X1)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f351,f735])).
% 0.13/0.39 fof(f1359,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f1344,f732])).
% 0.13/0.39 fof(f1393,plain,(
% 0.13/0.39 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f1359,f19])).
% 0.13/0.39 fof(f1444,plain,(
% 0.13/0.39 $false|sQ2_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f1393])).
% 0.13/0.39 fof(f1445,plain,(
% 0.13/0.39 sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1444])).
% 0.13/0.39 fof(f1516,plain,(
% 0.13/0.39 ~double_divide(a1,inverse(a1))=identity|sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f473,f13])).
% 0.13/0.39 fof(f1517,plain,(
% 0.13/0.39 ~identity=identity|sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f9,f1516])).
% 0.13/0.39 fof(f1518,plain,(
% 0.13/0.39 $false|sQ0_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f1517])).
% 0.13/0.39 fof(f1519,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1518])).
% 0.13/0.39 fof(f1524,plain,(
% 0.13/0.39 ~a2=a2|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f339,f16])).
% 0.13/0.39 fof(f1525,plain,(
% 0.13/0.39 $false|sQ1_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f1524])).
% 0.13/0.39 fof(f1526,plain,(
% 0.13/0.39 sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1525])).
% 0.13/0.39 fof(f1527,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f20,f1445,f1519,f1526])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.058664 seconds
% 0.13/0.41 % CPU time: 0.220784 seconds
% 0.13/0.41 % Total memory used: 69.626 MB
% 0.13/0.41 % Net memory used: 68.969 MB
%------------------------------------------------------------------------------