%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP077-1 : 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 : n010.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 0.09s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP077-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n010.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sun Sep 20 19:57:13 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.61 % Refutation found
% 0.09/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.61 fof(f1,axiom,(
% 0.09/0.61 (![X,Y,Z]: (double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) = Z ))),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f2,axiom,(
% 0.09/0.61 (![X,Y]: (multiply(X,Y) = double_divide(double_divide(Y,X),identity) ))),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f3,axiom,(
% 0.09/0.61 (![X]: (inverse(X) = double_divide(X,identity) ))),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f4,axiom,(
% 0.09/0.61 (![X]: (identity = double_divide(X,inverse(X)) ))),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f5,negated_conjecture,(
% 0.09/0.61 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.09/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.61 fof(f6,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity))=X2)),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.61 fof(f7,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.61 fof(f8,plain,(
% 0.09/0.61 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.61 fof(f9,plain,(
% 0.09/0.61 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.61 fof(f10,plain,(
% 0.09/0.61 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.61 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.61 fof(f11,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2)))))=X2)),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.09/0.61 fof(f12,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.61 fof(f13,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2)))))=X2)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f11])).
% 0.09/0.61 fof(f14,plain,(
% 0.09/0.61 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f8,f12])).
% 0.09/0.61 fof(f15,plain,(
% 0.09/0.61 ~multiply(inverse(a1),a1)=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f14,f10])).
% 0.09/0.61 fof(f17,plain,(
% 0.09/0.61 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f9,f12])).
% 0.09/0.61 fof(f18,plain,(
% 0.09/0.61 ~inverse(identity)=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f17,f15])).
% 0.09/0.61 fof(f19,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(X2,double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X3)))))=X3)),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f12,f13])).
% 0.09/0.61 fof(f20,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2))))=multiply(X3,double_divide(identity,double_divide(inverse(X1),double_divide(X3,X2)))))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.09/0.61 fof(f21,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity))))=inverse(X1))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.09/0.61 fof(f24,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0)))))=inverse(X1))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f21])).
% 0.09/0.61 fof(f60,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,inverse(identity))=inverse(inverse(double_divide(identity,inverse(inverse(X0))))))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f17,f24])).
% 0.09/0.61 fof(f61,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,inverse(inverse(double_divide(identity,inverse(inverse(X0))))))=inverse(identity))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f14,f24])).
% 0.09/0.61 fof(f63,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(X2,double_divide(identity,inverse(multiply(X1,X0)))))=inverse(X2))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f12,f24])).
% 0.09/0.61 fof(f66,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X2)))))=multiply(X2,double_divide(identity,inverse(inverse(X1)))))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f24,f13])).
% 0.09/0.61 fof(f68,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,inverse(identity))=inverse(multiply(inverse(inverse(X0)),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f60])).
% 0.09/0.61 fof(f69,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,inverse(multiply(inverse(inverse(X0)),identity)))=inverse(identity))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f61])).
% 0.09/0.61 fof(f70,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,double_divide(X0,inverse(identity)))=inverse(identity))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f68,f69])).
% 0.09/0.61 fof(f75,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(double_divide(X0,X1),inverse(identity))=inverse(multiply(inverse(multiply(X1,X0)),identity)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f12,f68])).
% 0.09/0.61 fof(f82,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(double_divide(identity,inverse(multiply(X0,X1))),inverse(identity))=inverse(multiply(double_divide(double_divide(X1,X0),inverse(identity)),identity)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f75,f75])).
% 0.09/0.61 fof(f83,plain,(
% 0.09/0.61 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),inverse(identity))=inverse(multiply(double_divide(X0,inverse(identity)),identity)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f68,f75])).
% 0.09/0.61 fof(f102,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,multiply(inverse(X0),double_divide(identity,inverse(identity))))=inverse(identity))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f70,f13])).
% 0.09/0.61 fof(f107,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,multiply(inverse(X0),identity))=inverse(identity))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f9,f102])).
% 0.09/0.61 fof(f142,plain,(
% 0.09/0.61 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f17,f107])).
% 0.09/0.61 fof(f148,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(identity)))))=multiply(inverse(X1),identity))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f107,f13])).
% 0.09/0.61 fof(f153,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(double_divide(X0,X1),identity)=inverse(multiply(inverse(multiply(X1,X0)),identity)))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f174,f75])).
% 0.09/0.61 fof(f154,plain,(
% 0.09/0.61 ![X0]: (double_divide(X0,identity)=inverse(multiply(inverse(inverse(X0)),identity)))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f174,f68])).
% 0.09/0.61 fof(f157,plain,(
% 0.09/0.61 ~identity=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f174,f18])).
% 0.09/0.61 fof(f167,plain,(
% 0.09/0.61 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),inverse(identity))=inverse(multiply(double_divide(X0,identity),identity)))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f174,f83])).
% 0.09/0.61 fof(f168,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(double_divide(identity,inverse(multiply(X0,X1))),inverse(identity))=inverse(multiply(double_divide(double_divide(X1,X0),identity),identity)))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f174,f82])).
% 0.09/0.61 fof(f174,plain,(
% 0.09/0.61 identity=inverse(identity)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f9,f142])).
% 0.09/0.61 fof(f186,plain,(
% 0.09/0.61 ![X0]: (multiply(identity,double_divide(identity,inverse(inverse(X0))))=multiply(inverse(X0),identity))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f66,f148])).
% 0.09/0.61 fof(f187,plain,(
% 0.09/0.61 ![X0]: (inverse(inverse(double_divide(identity,inverse(inverse(X0)))))=multiply(inverse(X0),identity))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f14,f186])).
% 0.09/0.61 fof(f188,plain,(
% 0.09/0.61 ![X0]: (inverse(multiply(inverse(inverse(X0)),identity))=multiply(inverse(X0),identity))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f187])).
% 0.09/0.61 fof(f198,plain,(
% 0.09/0.61 ![X0,X1]: (inverse(double_divide(X0,X1))=inverse(multiply(inverse(multiply(X1,X0)),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f153])).
% 0.09/0.61 fof(f199,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(X0,X1)=inverse(multiply(inverse(multiply(X0,X1)),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f198])).
% 0.09/0.61 fof(f200,plain,(
% 0.09/0.61 ![X0]: (inverse(X0)=multiply(inverse(X0),identity))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f201,f188])).
% 0.09/0.61 fof(f201,plain,(
% 0.09/0.61 ![X0]: (inverse(X0)=inverse(multiply(inverse(inverse(X0)),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f154])).
% 0.09/0.61 fof(f202,plain,(
% 0.09/0.61 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.61 inference(trivial_equality_resolution,[status(thm)],[f157])).
% 0.09/0.61 fof(f236,plain,(
% 0.09/0.61 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),identity)=inverse(multiply(double_divide(X0,identity),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f174,f167])).
% 0.09/0.61 fof(f237,plain,(
% 0.09/0.61 ![X0]: (inverse(double_divide(identity,inverse(inverse(X0))))=inverse(multiply(double_divide(X0,identity),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f236])).
% 0.09/0.61 fof(f238,plain,(
% 0.09/0.61 ![X0]: (multiply(inverse(inverse(X0)),identity)=inverse(multiply(double_divide(X0,identity),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f237])).
% 0.09/0.61 fof(f239,plain,(
% 0.09/0.61 ![X0]: (inverse(X0)=inverse(inverse(multiply(inverse(X0),identity))))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f241,f201])).
% 0.09/0.61 fof(f241,plain,(
% 0.09/0.61 ![X0]: (multiply(inverse(inverse(X0)),identity)=inverse(multiply(inverse(X0),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f238])).
% 0.09/0.61 fof(f242,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(double_divide(identity,inverse(multiply(X0,X1))),identity)=inverse(multiply(double_divide(double_divide(X1,X0),identity),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f174,f168])).
% 0.09/0.61 fof(f243,plain,(
% 0.09/0.61 ![X0,X1]: (inverse(double_divide(identity,inverse(multiply(X0,X1))))=inverse(multiply(double_divide(double_divide(X1,X0),identity),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f242])).
% 0.09/0.61 fof(f244,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),identity)=inverse(multiply(double_divide(double_divide(X1,X0),identity),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f243])).
% 0.09/0.61 fof(f245,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),identity)=inverse(multiply(inverse(double_divide(X1,X0)),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f8,f244])).
% 0.09/0.61 fof(f250,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(X0,X1)=inverse(inverse(multiply(multiply(X0,X1),identity))))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f252,f199])).
% 0.09/0.61 fof(f252,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),identity)=inverse(multiply(multiply(X0,X1),identity)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f245])).
% 0.09/0.61 fof(f272,plain,(
% 0.09/0.61 ![X0,X1]: (inverse(multiply(X0,X1))=inverse(multiply(multiply(X0,X1),identity)))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f200,f252])).
% 0.09/0.61 fof(f281,plain,(
% 0.09/0.61 ![X0]: (inverse(X0)=inverse(inverse(inverse(X0))))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f200,f239])).
% 0.09/0.61 fof(f285,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(X0,X1)=inverse(inverse(multiply(X0,X1))))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f272,f250])).
% 0.09/0.61 fof(f291,plain,(
% 0.09/0.61 ![X0]: (double_divide(identity,multiply(X0,double_divide(identity,inverse(identity))))=inverse(X0))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f174,f24])).
% 0.09/0.61 fof(f292,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))))=X1)),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f174,f13])).
% 0.09/0.61 fof(f298,plain,(
% 0.09/0.61 ![X0]: (double_divide(identity,multiply(X0,identity))=inverse(X0))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f9,f291])).
% 0.09/0.61 fof(f306,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(inverse(double_divide(identity,double_divide(multiply(X1,X0),double_divide(identity,X2))))))=X2)),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f14,f19])).
% 0.09/0.61 fof(f312,plain,(
% 0.09/0.61 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,X1),multiply(X2,double_divide(identity,double_divide(multiply(X1,X0),X3))))=multiply(X4,double_divide(identity,double_divide(inverse(X2),double_divide(X4,X3)))))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f13,f19])).
% 0.09/0.61 fof(f323,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(multiply(double_divide(multiply(X1,X0),double_divide(identity,X2)),identity)))=X2)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f306])).
% 0.09/0.61 fof(f332,plain,(
% 0.09/0.61 ![X0,X1]: (inverse(double_divide(X0,X1))=multiply(multiply(X1,X0),identity))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f12,f200])).
% 0.09/0.61 fof(f341,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(X0,X1)=multiply(multiply(X0,X1),identity))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f332])).
% 0.09/0.61 fof(f373,plain,(
% 0.09/0.61 ![X0]: (double_divide(identity,inverse(X0))=inverse(inverse(X0)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f200,f298])).
% 0.09/0.61 fof(f380,plain,(
% 0.09/0.61 ![X0]: (multiply(multiply(X0,identity),identity)=inverse(inverse(X0)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f298,f12])).
% 0.09/0.61 fof(f382,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,multiply(X1,inverse(inverse(inverse(X0)))))=inverse(X1))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f373,f24])).
% 0.09/0.61 fof(f390,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(X2,inverse(inverse(multiply(X1,X0)))))=inverse(X2))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f373,f63])).
% 0.09/0.61 fof(f406,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(inverse(inverse(double_divide(multiply(X1,X0),double_divide(identity,X2))))))=X2)),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f412,f323])).
% 0.09/0.61 fof(f412,plain,(
% 0.09/0.61 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f341,f380])).
% 0.09/0.61 fof(f416,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,multiply(X1,inverse(X0)))=inverse(X1))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f281,f382])).
% 0.09/0.61 fof(f422,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(X2,multiply(X1,X0)))=inverse(X2))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f285,f390])).
% 0.09/0.61 fof(f424,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(multiply(X1,X0),double_divide(identity,X2))))=X2)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f281,f406])).
% 0.09/0.61 fof(f425,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(double_divide(identity,X2),multiply(X1,X0)))=X2)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f424])).
% 0.09/0.61 fof(f426,plain,(
% 0.09/0.61 ![X0]: (inverse(double_divide(identity,X0))=X0)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f422,f425])).
% 0.09/0.61 fof(f427,plain,(
% 0.09/0.61 ![X0]: (X0=inverse(inverse(X0)))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f428,f412])).
% 0.09/0.61 fof(f428,plain,(
% 0.09/0.61 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f426])).
% 0.09/0.61 fof(f433,plain,(
% 0.09/0.61 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f427,f202])).
% 0.09/0.61 fof(f438,plain,(
% 0.09/0.61 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f427,f373])).
% 0.09/0.61 fof(f441,plain,(
% 0.09/0.61 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.61 inference(trivial_equality_resolution,[status(thm)],[f433])).
% 0.09/0.61 fof(f447,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X1,X0)))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f12,f427])).
% 0.09/0.61 fof(f464,plain,(
% 0.09/0.61 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f427,f438])).
% 0.09/0.61 fof(f475,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(X2,inverse(double_divide(multiply(X1,X0),double_divide(X2,X3)))))=X3)),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f464,f19])).
% 0.09/0.61 fof(f477,plain,(
% 0.09/0.61 ![X0,X1]: (inverse(multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))))=X1)),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f464,f292])).
% 0.09/0.61 fof(f480,plain,(
% 0.09/0.61 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,X1),multiply(X2,double_divide(identity,double_divide(multiply(X1,X0),X3))))=multiply(X4,inverse(double_divide(inverse(X2),double_divide(X4,X3)))))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f464,f312])).
% 0.09/0.61 fof(f482,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2))))=multiply(X3,inverse(double_divide(inverse(X1),double_divide(X3,X2)))))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f464,f20])).
% 0.09/0.61 fof(f505,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(X2,multiply(double_divide(X2,X3),multiply(X1,X0))))=X3)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f475])).
% 0.09/0.61 fof(f507,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,double_divide(X0,X1))),X0)=X1)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f447,f477])).
% 0.09/0.61 fof(f508,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(inverse(double_divide(identity,double_divide(X0,X1))),X0)=X1)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f464,f507])).
% 0.09/0.61 fof(f509,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(multiply(double_divide(X0,X1),identity),X0)=X1)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f508])).
% 0.09/0.61 fof(f510,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f428,f509])).
% 0.09/0.61 fof(f515,plain,(
% 0.09/0.61 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,X1),multiply(X2,inverse(double_divide(multiply(X1,X0),X3))))=multiply(X4,inverse(double_divide(inverse(X2),double_divide(X4,X3)))))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f464,f480])).
% 0.09/0.61 fof(f516,plain,(
% 0.09/0.61 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,X1),multiply(X2,multiply(X3,multiply(X1,X0))))=multiply(X4,inverse(double_divide(inverse(X2),double_divide(X4,X3)))))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f515])).
% 0.09/0.61 fof(f517,plain,(
% 0.09/0.61 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,X1),multiply(X2,multiply(X3,multiply(X1,X0))))=multiply(X4,multiply(double_divide(X4,X3),inverse(X2))))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f516])).
% 0.09/0.61 fof(f519,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,inverse(double_divide(inverse(X0),X2))))=multiply(X3,inverse(double_divide(inverse(X1),double_divide(X3,X2)))))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f464,f482])).
% 0.09/0.61 fof(f520,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(X2,inverse(X0))))=multiply(X3,inverse(double_divide(inverse(X1),double_divide(X3,X2)))))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f519])).
% 0.09/0.61 fof(f521,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(X2,inverse(X0))))=multiply(X3,multiply(double_divide(X3,X2),inverse(X1))))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f520])).
% 0.09/0.61 fof(f563,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f510,f510])).
% 0.09/0.61 fof(f589,plain,(
% 0.09/0.61 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f563,f12])).
% 0.09/0.61 fof(f641,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,inverse(X1))=inverse(double_divide(X1,inverse(X0))))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f589,f416])).
% 0.09/0.61 fof(f658,plain,(
% 0.09/0.61 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(inverse(X0),X1))),
% 0.09/0.61 inference(forward_demodulation,[status(thm)],[f12,f641])).
% 0.09/0.61 fof(f842,plain,(
% 0.09/0.61 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(X2,multiply(X3,multiply(X1,X0))))=double_divide(X3,X2))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f563,f505])).
% 0.09/0.61 fof(f896,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(X2,multiply(double_divide(X2,X0),inverse(X1))))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f842,f517])).
% 0.09/0.61 fof(f934,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(X0,multiply(X1,multiply(X2,inverse(X0))))=double_divide(X2,X1))),
% 0.09/0.61 inference(backward_demodulation,[status(thm)],[f896,f521])).
% 0.09/0.61 fof(f1235,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),X2)=multiply(X1,multiply(X0,inverse(X2))))),
% 0.09/0.61 inference(paramodulation,[status(thm)],[f934,f510])).
% 0.09/0.61 fof(f1300,plain,(
% 0.09/0.61 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(X2))=multiply(X1,multiply(X0,X2)))),
% 0.09/0.62 inference(paramodulation,[status(thm)],[f427,f1235])).
% 0.09/0.62 fof(f1327,plain,(
% 0.09/0.62 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,X1)),X2)=multiply(X1,multiply(X0,X2)))),
% 0.09/0.62 inference(forward_demodulation,[status(thm)],[f658,f1300])).
% 0.09/0.62 fof(f1328,plain,(
% 0.09/0.62 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.09/0.62 inference(backward_demodulation,[status(thm)],[f1335,f441])).
% 0.09/0.62 fof(f1335,plain,(
% 0.09/0.62 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.62 inference(forward_demodulation,[status(thm)],[f12,f1327])).
% 0.09/0.62 fof(f1354,plain,(
% 0.09/0.62 $false),
% 0.09/0.62 inference(trivial_equality_resolution,[status(thm)],[f1328])).
% 0.09/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.64 % Elapsed time: 0.062212 seconds
% 0.13/0.64 % CPU time: 0.286289 seconds
% 0.13/0.64 % Total memory used: 65.801 MB
% 0.13/0.64 % Net memory used: 65.377 MB
%------------------------------------------------------------------------------