%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP100-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 12:35:38 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP100-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n002.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 20 20:00:18 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.21/0.58 % Refutation found
% 0.21/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.58 fof(f1,axiom,(
% 0.21/0.58 (![X,Y,Z]: (double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = Y ))),
% 0.21/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f2,axiom,(
% 0.21/0.58 (![X,Y]: (multiply(X,Y) = double_divide(double_divide(Y,X),identity) ))),
% 0.21/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f3,axiom,(
% 0.21/0.58 (![X]: (inverse(X) = double_divide(X,identity) ))),
% 0.21/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f4,axiom,(
% 0.21/0.58 (![X]: (identity = double_divide(X,inverse(X)) ))),
% 0.21/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f5,negated_conjecture,(
% 0.21/0.58 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 0.21/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f6,plain,(
% 0.21/0.58 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity))=X1)),
% 0.21/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.21/0.58 fof(f7,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.21/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.21/0.58 fof(f8,plain,(
% 0.21/0.58 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.21/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.21/0.58 fof(f9,plain,(
% 0.21/0.58 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.21/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.21/0.58 fof(f10,plain,(
% 0.21/0.58 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.21/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.21/0.58 fof(f11,plain,(
% 0.21/0.58 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity))=X1)),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.21/0.58 fof(f12,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.21/0.58 fof(f13,plain,(
% 0.21/0.58 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity))=X1)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f11])).
% 0.21/0.58 fof(f14,plain,(
% 0.21/0.58 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f8,f12])).
% 0.21/0.58 fof(f15,plain,(
% 0.21/0.58 ~multiply(inverse(a1),a1)=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f14,f10])).
% 0.21/0.58 fof(f17,plain,(
% 0.21/0.58 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f9,f12])).
% 0.21/0.58 fof(f18,plain,(
% 0.21/0.58 ~inverse(identity)=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f17,f15])).
% 0.21/0.58 fof(f20,plain,(
% 0.21/0.58 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.21/0.58 fof(f21,plain,(
% 0.21/0.58 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity))=X1)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f8,f13])).
% 0.21/0.58 fof(f24,plain,(
% 0.21/0.58 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f20])).
% 0.21/0.58 fof(f57,plain,(
% 0.21/0.58 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=X0)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f9,f24])).
% 0.21/0.58 fof(f64,plain,(
% 0.21/0.58 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f57])).
% 0.21/0.58 fof(f67,plain,(
% 0.21/0.58 ![X0,X1]: (double_divide(multiply(X0,X1),inverse(identity))=double_divide(X1,X0))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f12,f64])).
% 0.21/0.58 fof(f71,plain,(
% 0.21/0.58 ![X0]: (multiply(inverse(identity),inverse(X0))=inverse(X0))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f64,f12])).
% 0.21/0.58 fof(f74,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(inverse(identity),multiply(X0,X1))=inverse(double_divide(X1,X0)))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f12,f71])).
% 0.21/0.58 fof(f77,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(inverse(identity),multiply(X0,X1))=multiply(X0,X1))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f12,f74])).
% 0.21/0.58 fof(f108,plain,(
% 0.21/0.58 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=inverse(X0))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f64,f21])).
% 0.21/0.58 fof(f109,plain,(
% 0.21/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(X1,double_divide(inverse(X0),inverse(inverse(X1)))))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f24,f21])).
% 0.21/0.58 fof(f110,plain,(
% 0.21/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f21,f21])).
% 0.21/0.58 fof(f111,plain,(
% 0.21/0.58 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f13,f21])).
% 0.21/0.58 fof(f122,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(inverse(X0),inverse(inverse(X1)))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f108,f109])).
% 0.21/0.58 fof(f124,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f108,f110])).
% 0.21/0.58 fof(f128,plain,(
% 0.21/0.58 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f108,f111])).
% 0.21/0.58 fof(f142,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(double_divide(inverse(X0),inverse(inverse(X1))),X1)=inverse(inverse(X0)))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f122,f12])).
% 0.21/0.58 fof(f149,plain,(
% 0.21/0.58 ![X0]: (inverse(inverse(X0))=double_divide(identity,double_divide(X0,inverse(identity))))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f64,f124])).
% 0.21/0.58 fof(f154,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1)=inverse(inverse(X0)))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f124,f12])).
% 0.21/0.58 fof(f227,plain,(
% 0.21/0.58 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2)),X1)=inverse(inverse(X0)))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f128,f12])).
% 0.21/0.58 fof(f247,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(inverse(multiply(X0,X1)))=double_divide(identity,double_divide(X1,X0)))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f67,f149])).
% 0.21/0.58 fof(f249,plain,(
% 0.21/0.58 inverse(inverse(identity))=double_divide(identity,identity)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f9,f149])).
% 0.21/0.58 fof(f252,plain,(
% 0.21/0.58 ![X0]: (inverse(identity)=double_divide(X0,double_divide(inverse(inverse(X0)),inverse(inverse(identity)))))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f149,f128])).
% 0.21/0.58 fof(f253,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=double_divide(identity,double_divide(double_divide(X0,inverse(inverse(X1))),inverse(double_divide(X1,inverse(identity))))))),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f149,f128])).
% 0.21/0.58 fof(f265,plain,(
% 0.21/0.58 inverse(inverse(identity))=inverse(identity)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f249])).
% 0.21/0.58 fof(f269,plain,(
% 0.21/0.58 ![X0]: (inverse(identity)=double_divide(X0,double_divide(inverse(inverse(X0)),inverse(identity))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f265,f252])).
% 0.21/0.58 fof(f270,plain,(
% 0.21/0.58 ![X0]: (inverse(identity)=double_divide(X0,inverse(X0)))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f64,f269])).
% 0.21/0.58 fof(f271,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),identity)))),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f284,f124])).
% 0.21/0.58 fof(f272,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(identity,multiply(X0,X1))=multiply(X0,X1))),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f284,f77])).
% 0.21/0.58 fof(f273,plain,(
% 0.21/0.58 ![X0,X1]: (double_divide(multiply(X0,X1),identity)=double_divide(X1,X0))),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f284,f67])).
% 0.21/0.58 fof(f275,plain,(
% 0.21/0.58 ![X0]: (double_divide(inverse(X0),identity)=X0)),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f284,f64])).
% 0.21/0.58 fof(f278,plain,(
% 0.21/0.58 ~identity=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f284,f18])).
% 0.21/0.58 fof(f282,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1)=inverse(inverse(X0)))),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f284,f154])).
% 0.21/0.58 fof(f284,plain,(
% 0.21/0.58 inverse(identity)=identity),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f9,f270])).
% 0.21/0.58 fof(f285,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=inverse(inverse(multiply(inverse(double_divide(X1,inverse(identity))),double_divide(X0,inverse(inverse(X1)))))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f247,f253])).
% 0.21/0.58 fof(f286,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=inverse(inverse(multiply(multiply(inverse(identity),X1),double_divide(X0,inverse(inverse(X1)))))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f12,f285])).
% 0.21/0.58 fof(f287,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=inverse(inverse(multiply(multiply(identity,X1),double_divide(X0,inverse(inverse(X1)))))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f284,f286])).
% 0.21/0.58 fof(f288,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=inverse(inverse(multiply(inverse(inverse(X1)),double_divide(X0,inverse(inverse(X1)))))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f14,f287])).
% 0.21/0.58 fof(f306,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=double_divide(X1,inverse(double_divide(X0,inverse(X1)))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f271])).
% 0.21/0.58 fof(f307,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=double_divide(X1,multiply(inverse(X1),X0)))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f12,f306])).
% 0.21/0.58 fof(f308,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),double_divide(X0,inverse(inverse(X1)))))),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f310,f288])).
% 0.21/0.58 fof(f310,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(inverse(multiply(X0,X1)))=multiply(X0,X1))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f14,f272])).
% 0.21/0.58 fof(f313,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f273])).
% 0.21/0.58 fof(f319,plain,(
% 0.21/0.58 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2)),X1)=X0)),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f325,f227])).
% 0.21/0.58 fof(f323,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(double_divide(inverse(X0),inverse(inverse(X1))),X1)=X0)),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f325,f142])).
% 0.21/0.58 fof(f325,plain,(
% 0.21/0.58 ![X0]: (inverse(inverse(X0))=X0)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f275])).
% 0.21/0.58 fof(f326,plain,(
% 0.21/0.58 ~identity=identity|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f325,f278])).
% 0.21/0.58 fof(f327,plain,(
% 0.21/0.58 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.21/0.58 inference(trivial_equality_resolution,[status(thm)],[f326])).
% 0.21/0.58 fof(f331,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(inverse(double_divide(X0,inverse(X1))),X1)=inverse(inverse(X0)))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f8,f282])).
% 0.21/0.58 fof(f332,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=inverse(inverse(X1)))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f12,f331])).
% 0.21/0.58 fof(f333,plain,(
% 0.21/0.58 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f325,f332])).
% 0.21/0.58 fof(f338,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=multiply(X1,double_divide(X0,inverse(inverse(X1)))))),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f325,f308])).
% 0.21/0.58 fof(f339,plain,(
% 0.21/0.58 ![X0,X1]: (inverse(X0)=multiply(X1,double_divide(X0,X1)))),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f325,f338])).
% 0.21/0.59 fof(f346,plain,(
% 0.21/0.59 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),X1)=X0)),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f325,f323])).
% 0.21/0.59 fof(f415,plain,(
% 0.21/0.59 ![X0,X1]: (inverse(inverse(X0))=double_divide(double_divide(X0,X1),X1))),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f339,f313])).
% 0.21/0.59 fof(f420,plain,(
% 0.21/0.59 ![X0,X1]: (X0=double_divide(double_divide(X0,X1),X1))),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f325,f415])).
% 0.21/0.59 fof(f456,plain,(
% 0.21/0.59 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f325,f346])).
% 0.21/0.59 fof(f475,plain,(
% 0.21/0.59 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f420,f456])).
% 0.21/0.59 fof(f604,plain,(
% 0.21/0.59 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f12,f475])).
% 0.21/0.59 fof(f620,plain,(
% 0.21/0.59 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.21/0.59 inference(backward_subsumption_resolution,[status(thm)],[f327,f604])).
% 0.21/0.59 fof(f648,plain,(
% 0.21/0.59 ~multiply(multiply(b3,a3),c3)=multiply(a3,multiply(b3,c3))),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f604,f620])).
% 0.21/0.59 fof(f668,plain,(
% 0.21/0.59 ![X0,X1]: (inverse(double_divide(X0,inverse(X1)))=double_divide(X1,inverse(X0)))),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f339,f307])).
% 0.21/0.59 fof(f691,plain,(
% 0.21/0.59 ![X0,X1,X2]: (multiply(multiply(X0,inverse(double_divide(X1,double_divide(X2,X0)))),X2)=X1)),
% 0.21/0.59 inference(backward_demodulation,[status(thm)],[f696,f319])).
% 0.21/0.59 fof(f696,plain,(
% 0.21/0.59 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(X1,inverse(X0)))),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f475,f668])).
% 0.21/0.59 fof(f719,plain,(
% 0.21/0.59 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2)=X1)),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f475,f691])).
% 0.21/0.59 fof(f1950,plain,(
% 0.21/0.59 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0))=X2)),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f12,f333])).
% 0.21/0.59 fof(f2108,plain,(
% 0.21/0.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(X2,double_divide(X0,X1))))=X2)),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f604,f719])).
% 0.21/0.59 fof(f2765,plain,(
% 0.21/0.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,X0),X2))),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f1950,f2108])).
% 0.21/0.59 fof(f2824,plain,(
% 0.21/0.59 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.21/0.59 inference(backward_demodulation,[status(thm)],[f2765,f648])).
% 0.21/0.59 fof(f2935,plain,(
% 0.21/0.59 $false),
% 0.21/0.59 inference(trivial_equality_resolution,[status(thm)],[f2824])).
% 0.21/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.59 % Elapsed time: 0.166812 seconds
% 0.21/0.59 % CPU time: 1.134927 seconds
% 0.21/0.59 % Total memory used: 87.379 MB
% 0.21/0.59 % Net memory used: 86.500 MB
%------------------------------------------------------------------------------