%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP575-1 : 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 : n003.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 12:36:50 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP575-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:18:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f1,axiom,(
% 0.12/0.42 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ))),
% 0.12/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f2,axiom,(
% 0.12/0.42 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.12/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f3,axiom,(
% 0.12/0.42 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.12/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f4,axiom,(
% 0.12/0.42 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.12/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f5,negated_conjecture,(
% 0.12/0.42 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.12/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f6,plain,(
% 0.12/0.42 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity))=X1)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.42 fof(f7,plain,(
% 0.12/0.42 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.42 fof(f8,plain,(
% 0.12/0.42 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.42 fof(f9,plain,(
% 0.12/0.42 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.42 fof(f10,plain,(
% 0.12/0.42 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.42 fof(f16,plain,(
% 0.12/0.42 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity))=X1)),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.12/0.42 fof(f17,plain,(
% 0.12/0.42 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.12/0.42 fof(f18,plain,(
% 0.12/0.42 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity))=X1)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f8,f16])).
% 0.12/0.42 fof(f48,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),inverse(double_divide(X2,double_divide(double_divide(X1,double_divide(X3,X2)),inverse(X3)))))),inverse(identity))=X0)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f18,f18])).
% 0.12/0.42 fof(f50,plain,(
% 0.12/0.42 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity))=X1)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f9,f18])).
% 0.12/0.42 fof(f52,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))),inverse(identity))=X1)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f17,f18])).
% 0.12/0.42 fof(f56,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))),inverse(identity))=X0)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f17,f48])).
% 0.12/0.42 fof(f59,plain,(
% 0.12/0.42 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity))=X1)),
% 0.12/0.42 inference(forward_demodulation,[status(thm)],[f8,f50])).
% 0.12/0.42 fof(f127,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(inverse(identity),double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity))=double_divide(X3,double_divide(double_divide(X0,double_divide(X4,X3)),inverse(X4))))),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f18,f56])).
% 0.12/0.42 fof(f131,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),inverse(double_divide(inverse(identity),double_divide(double_divide(X2,X3),multiply(double_divide(double_divide(X3,double_divide(X4,X5)),inverse(X4)),X5))))),inverse(identity)))),inverse(identity))=X0)),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f56,f56])).
% 0.12/0.43 fof(f133,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),inverse(double_divide(X3,double_divide(double_divide(X2,double_divide(X4,X3)),inverse(X4))))),inverse(identity)))),inverse(identity))=X0)),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f18,f56])).
% 0.12/0.43 fof(f143,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),multiply(double_divide(double_divide(X2,X3),multiply(double_divide(double_divide(X3,double_divide(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity)))),inverse(identity))=X0)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f131])).
% 0.12/0.43 fof(f145,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),multiply(double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X3)),X4)),inverse(identity)))),inverse(identity))=X0)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f133])).
% 0.12/0.43 fof(f174,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (double_divide(double_divide(inverse(identity),double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity))=double_divide(X3,double_divide(double_divide(X0,double_divide(double_divide(X4,X5),X3)),multiply(X5,X4))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f52,f56])).
% 0.12/0.43 fof(f221,plain,(
% 0.12/0.43 ![X0]: (double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity))=X0)),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f9,f59])).
% 0.12/0.43 fof(f237,plain,(
% 0.12/0.43 ![X0]: (double_divide(inverse(inverse(inverse(X0))),inverse(identity))=X0)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f8,f221])).
% 0.12/0.43 fof(f245,plain,(
% 0.12/0.43 ![X0,X1]: (double_divide(inverse(inverse(multiply(X0,X1))),inverse(identity))=double_divide(X1,X0))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f17,f237])).
% 0.12/0.43 fof(f246,plain,(
% 0.12/0.43 ![X0]: (double_divide(double_divide(inverse(identity),X0),inverse(identity))=inverse(inverse(X0)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f237,f59])).
% 0.12/0.43 fof(f250,plain,(
% 0.12/0.43 ![X0,X1,X2]: (double_divide(double_divide(inverse(identity),double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity))=inverse(inverse(inverse(X0))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f237,f56])).
% 0.12/0.43 fof(f259,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (inverse(inverse(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))))=X0)),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f246,f56])).
% 0.12/0.43 fof(f268,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (inverse(inverse(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),multiply(double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X3)),X4)),inverse(identity)))))=X0)),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f246,f145])).
% 0.12/0.43 fof(f269,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (inverse(inverse(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),multiply(double_divide(double_divide(X2,X3),multiply(double_divide(double_divide(X3,double_divide(X4,X5)),inverse(X4)),X5)),inverse(identity))),inverse(identity)))))=X0)),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f246,f143])).
% 0.12/0.43 fof(f273,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (inverse(inverse(double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))))=double_divide(X3,double_divide(double_divide(X0,double_divide(double_divide(X4,X5),X3)),multiply(X5,X4))))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f246,f174])).
% 0.12/0.43 fof(f274,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (inverse(inverse(double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))))=double_divide(X3,double_divide(double_divide(X0,double_divide(X4,X3)),inverse(X4))))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f246,f127])).
% 0.12/0.43 fof(f285,plain,(
% 0.12/0.43 ![X0,X1,X2]: (inverse(inverse(double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))))=inverse(inverse(inverse(X0))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f246,f250])).
% 0.12/0.43 fof(f286,plain,(
% 0.12/0.43 ![X0,X1,X2]: (inverse(multiply(multiply(double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X0)),X1),X2))=inverse(inverse(inverse(X2))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f285])).
% 0.12/0.43 fof(f294,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (inverse(multiply(multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2),double_divide(X3,X0)))=X3)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f259])).
% 0.12/0.43 fof(f303,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (inverse(multiply(multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3)),inverse(identity)),double_divide(X4,X0)))=X4)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f268])).
% 0.12/0.43 fof(f304,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),multiply(double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X3)),X4)),inverse(identity))),inverse(identity)),double_divide(X5,X0)))=X5)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f269])).
% 0.12/0.43 fof(f311,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(multiply(double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X0)),X1),X2))=double_divide(X3,double_divide(double_divide(X2,double_divide(double_divide(X4,X5),X3)),multiply(X5,X4))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f273])).
% 0.12/0.43 fof(f314,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (inverse(inverse(inverse(X0)))=double_divide(X1,double_divide(double_divide(X0,double_divide(double_divide(X2,X3),X1)),multiply(X3,X2))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f286,f311])).
% 0.12/0.43 fof(f315,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (inverse(multiply(multiply(double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X0)),X1),X2))=double_divide(X3,double_divide(double_divide(X2,double_divide(X4,X3)),inverse(X4))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f274])).
% 0.12/0.43 fof(f318,plain,(
% 0.12/0.43 ![X0,X1,X2]: (inverse(inverse(inverse(X0)))=double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f286,f315])).
% 0.12/0.43 fof(f344,plain,(
% 0.12/0.43 double_divide(identity,inverse(identity))=inverse(inverse(inverse(inverse(identity))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f9,f246])).
% 0.12/0.43 fof(f349,plain,(
% 0.12/0.43 identity=inverse(inverse(inverse(inverse(identity))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f9,f344])).
% 0.12/0.43 fof(f352,plain,(
% 0.12/0.43 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f349,f237])).
% 0.12/0.43 fof(f361,plain,(
% 0.12/0.43 ![X0]: (double_divide(double_divide(inverse(identity),X0),identity)=inverse(inverse(X0)))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f384,f246])).
% 0.12/0.43 fof(f362,plain,(
% 0.12/0.43 ![X0,X1]: (double_divide(inverse(inverse(multiply(X0,X1))),identity)=double_divide(X1,X0))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f384,f245])).
% 0.12/0.43 fof(f363,plain,(
% 0.12/0.43 ![X0]: (double_divide(inverse(inverse(inverse(X0))),identity)=X0)),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f384,f237])).
% 0.12/0.43 fof(f370,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),multiply(double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X3)),X4)),inverse(identity))),identity),double_divide(X5,X0)))=X5)),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f384,f304])).
% 0.12/0.43 fof(f384,plain,(
% 0.12/0.43 identity=inverse(identity)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f9,f352])).
% 0.12/0.43 fof(f405,plain,(
% 0.12/0.43 ![X0]: (inverse(double_divide(inverse(identity),X0))=inverse(inverse(X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f8,f361])).
% 0.12/0.43 fof(f406,plain,(
% 0.12/0.43 ![X0]: (multiply(X0,inverse(identity))=inverse(inverse(X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f405])).
% 0.12/0.43 fof(f410,plain,(
% 0.12/0.43 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f384,f406])).
% 0.12/0.43 fof(f411,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(inverse(inverse(multiply(X0,X1))))=double_divide(X1,X0))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f8,f362])).
% 0.12/0.43 fof(f413,plain,(
% 0.12/0.43 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f8,f363])).
% 0.12/0.43 fof(f419,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(inverse(inverse(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,X2),multiply(double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X3)),X4)),inverse(identity))))),double_divide(X5,X0)))=X5)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f410,f370])).
% 0.12/0.43 fof(f420,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(inverse(multiply(multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3)),inverse(identity)),double_divide(X4,X0))),double_divide(X5,X4)))=X5)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f419])).
% 0.12/0.43 fof(f421,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(multiply(X0,double_divide(X1,X0)))=X1)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f303,f420])).
% 0.12/0.43 fof(f497,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(inverse(inverse(X0)))=multiply(X1,double_divide(X0,X1)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f421,f413])).
% 0.12/0.43 fof(f537,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (inverse(multiply(multiply(double_divide(double_divide(X0,double_divide(inverse(inverse(inverse(X1))),X2)),X1),X2),double_divide(X3,X0)))=X3)),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f413,f294])).
% 0.12/0.43 fof(f704,plain,(
% 0.12/0.43 ![X0]: (inverse(inverse(inverse(inverse(inverse(X0)))))=double_divide(identity,X0))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f410,f411])).
% 0.12/0.43 fof(f731,plain,(
% 0.12/0.43 ![X0]: (inverse(X0)=double_divide(identity,X0))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f413,f704])).
% 0.12/0.43 fof(f752,plain,(
% 0.12/0.43 ![X0]: (inverse(inverse(inverse(identity)))=multiply(X0,inverse(X0)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f731,f497])).
% 0.12/0.43 fof(f757,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(inverse(inverse(inverse(inverse(inverse(X0))))))=double_divide(double_divide(X0,X1),X1))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f497,f411])).
% 0.12/0.43 fof(f761,plain,(
% 0.12/0.43 ![X0]: (inverse(inverse(identity))=multiply(X0,inverse(X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f384,f752])).
% 0.12/0.43 fof(f762,plain,(
% 0.12/0.43 ![X0]: (inverse(identity)=multiply(X0,inverse(X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f384,f761])).
% 0.12/0.43 fof(f763,plain,(
% 0.12/0.43 ![X0]: (identity=multiply(X0,inverse(X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f384,f762])).
% 0.12/0.43 fof(f766,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(inverse(X0))=double_divide(double_divide(X0,X1),X1))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f413,f757])).
% 0.12/0.43 fof(f821,plain,(
% 0.12/0.43 ![X0]: (inverse(inverse(inverse(identity)))=double_divide(inverse(X0),X0))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f763,f411])).
% 0.12/0.43 fof(f830,plain,(
% 0.12/0.43 ![X0]: (inverse(inverse(identity))=double_divide(inverse(X0),X0))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f384,f821])).
% 0.12/0.43 fof(f831,plain,(
% 0.12/0.43 ![X0]: (inverse(identity)=double_divide(inverse(X0),X0))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f384,f830])).
% 0.12/0.43 fof(f832,plain,(
% 0.12/0.43 ![X0]: (identity=double_divide(inverse(X0),X0))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f384,f831])).
% 0.12/0.43 fof(f842,plain,(
% 0.12/0.43 ![X0,X1]: (identity=double_divide(multiply(X0,X1),double_divide(X1,X0)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f17,f832])).
% 0.12/0.43 fof(f844,plain,(
% 0.12/0.43 ![X0]: (inverse(inverse(inverse(inverse(X0))))=multiply(X0,identity))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f832,f497])).
% 0.12/0.43 fof(f851,plain,(
% 0.12/0.43 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f852,f410])).
% 0.12/0.43 fof(f852,plain,(
% 0.12/0.43 ![X0]: (X0=multiply(X0,identity))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f413,f844])).
% 0.12/0.43 fof(f859,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f851,f411])).
% 0.12/0.43 fof(f861,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(X0)=multiply(X1,double_divide(X0,X1)))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f851,f497])).
% 0.12/0.43 fof(f876,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (inverse(multiply(multiply(double_divide(double_divide(X0,double_divide(inverse(X1),X2)),X1),X2),double_divide(X3,X0)))=X3)),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f851,f537])).
% 0.12/0.43 fof(f878,plain,(
% 0.12/0.43 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f851,f318])).
% 0.12/0.43 fof(f879,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(double_divide(X2,X3),X1)),multiply(X3,X2))))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f851,f314])).
% 0.12/0.43 fof(f881,plain,(
% 0.12/0.43 ![X0,X1]: (X0=double_divide(double_divide(X0,X1),X1))),
% 0.12/0.43 inference(backward_demodulation,[status(thm)],[f851,f766])).
% 0.12/0.43 fof(f887,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(inverse(X2),X3)),X2),X3))=X0)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f859,f876])).
% 0.12/0.43 fof(f1008,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(inverse(double_divide(X0,X1)))=double_divide(X1,double_divide(identity,inverse(X0))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f832,f878])).
% 0.12/0.43 fof(f1010,plain,(
% 0.12/0.43 ![X0,X1,X2]: (inverse(double_divide(X0,double_divide(X1,X2)))=double_divide(X2,double_divide(X0,inverse(X1))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f881,f878])).
% 0.12/0.43 fof(f1021,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(identity,X1)),identity)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f384,f878])).
% 0.12/0.43 fof(f1028,plain,(
% 0.12/0.43 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2)=inverse(inverse(X0)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f878,f17])).
% 0.12/0.43 fof(f1031,plain,(
% 0.12/0.43 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,double_divide(identity,inverse(X0))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f851,f1008])).
% 0.12/0.43 fof(f1032,plain,(
% 0.12/0.43 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,inverse(inverse(X0))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f731,f1031])).
% 0.12/0.43 fof(f1033,plain,(
% 0.12/0.43 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f851,f1032])).
% 0.12/0.43 fof(f1039,plain,(
% 0.12/0.43 ![X0,X1,X2]: (multiply(double_divide(X0,X1),X2)=double_divide(X1,double_divide(X2,inverse(X0))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f1010])).
% 0.12/0.43 fof(f1056,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(X0)=double_divide(X1,inverse(double_divide(X0,double_divide(identity,X1)))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f8,f1021])).
% 0.12/0.43 fof(f1057,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(X0)=double_divide(X1,multiply(double_divide(identity,X1),X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f17,f1056])).
% 0.12/0.43 fof(f1058,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(X0)=double_divide(X1,multiply(inverse(X1),X0)))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f731,f1057])).
% 0.12/0.43 fof(f1065,plain,(
% 0.12/0.43 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2)=X0)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f851,f1028])).
% 0.12/0.43 fof(f1086,plain,(
% 0.12/0.43 ![X0,X1]: (inverse(X0)=multiply(X1,double_divide(X1,X0)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f1033,f861])).
% 0.12/0.43 fof(f1090,plain,(
% 0.12/0.43 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f1033,f17])).
% 0.12/0.43 fof(f1486,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (inverse(double_divide(X0,double_divide(double_divide(X1,X2),X3)))=double_divide(X3,double_divide(X0,multiply(X2,X1))))),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f881,f879])).
% 0.12/0.43 fof(f1560,plain,(
% 0.12/0.43 ![X0,X1,X2,X3]: (multiply(X0,double_divide(double_divide(X1,X2),X3))=double_divide(X3,double_divide(X0,multiply(X2,X1))))),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f1090,f1486])).
% 0.12/0.43 fof(f1819,plain,(
% 0.12/0.43 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(X1,inverse(X2))),multiply(double_divide(identity,X2),X1))=X0)),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f842,f887])).
% 0.12/0.44 fof(f1892,plain,(
% 0.12/0.44 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(X1,inverse(X2))),multiply(inverse(X2),X1))=X0)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f731,f1819])).
% 0.12/0.44 fof(f1949,plain,(
% 0.12/0.44 ![X0,X1]: (inverse(double_divide(inverse(X0),X1))=double_divide(X0,inverse(X1)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f1086,f1058])).
% 0.12/0.44 fof(f1985,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(multiply(inverse(double_divide(X0,double_divide(X1,X2))),X1),X2)=X0)),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f1992,f1065])).
% 0.12/0.44 fof(f1991,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(double_divide(X0,X1),X2)=double_divide(X1,multiply(inverse(X2),X0)))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f1992,f1039])).
% 0.12/0.44 fof(f1992,plain,(
% 0.12/0.44 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f1090,f1949])).
% 0.12/0.44 fof(f2047,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(multiply(multiply(X0,double_divide(X1,X2)),X1),X2)=X0)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f1090,f1985])).
% 0.12/0.44 fof(f2051,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(double_divide(X0,double_divide(X1,multiply(X0,inverse(X2)))),X2)=X1)),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f1991,f1892])).
% 0.12/0.44 fof(f2067,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(multiply(X0,double_divide(double_divide(inverse(X1),X2),X2)),X1)=X0)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f1560,f2051])).
% 0.12/0.44 fof(f2069,plain,(
% 0.12/0.44 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f881,f2067])).
% 0.12/0.44 fof(f2452,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,inverse(double_divide(X1,X2))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f2069,f2047])).
% 0.12/0.44 fof(f2498,plain,(
% 0.12/0.44 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f2528,f10])).
% 0.12/0.44 fof(f2528,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f1090,f2452])).
% 0.12/0.44 fof(f2606,plain,(
% 0.12/0.44 $false),
% 0.12/0.44 inference(trivial_equality_resolution,[status(thm)],[f2498])).
% 0.12/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.082269 seconds
% 0.12/0.45 % CPU time: 0.536539 seconds
% 0.12/0.45 % Total memory used: 25.633 MB
% 0.12/0.45 % Net memory used: 24.589 MB
%------------------------------------------------------------------------------