%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP567-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP567-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 20:16:54 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.33 % Refutation found
% 0.02/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.33 fof(f1,axiom,(
% 0.02/0.33 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B ))),
% 0.02/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f2,axiom,(
% 0.02/0.33 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.02/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f3,axiom,(
% 0.02/0.33 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.02/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f4,axiom,(
% 0.02/0.33 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.02/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f5,negated_conjecture,(
% 0.02/0.33 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.02/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f6,plain,(
% 0.02/0.33 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity))=X1)),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.33 fof(f7,plain,(
% 0.02/0.33 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.33 fof(f8,plain,(
% 0.02/0.33 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.33 fof(f9,plain,(
% 0.02/0.33 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.33 fof(f10,plain,(
% 0.02/0.33 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f5])).
% 0.02/0.33 fof(f11,definition,(
% 0.02/0.33 sF1_fnc=multiply(a3,b3)),
% 0.02/0.33 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.02/0.33 fof(f12,definition,(
% 0.02/0.33 sF0_fnc=multiply(sF1_fnc,c3)),
% 0.02/0.33 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.02/0.33 fof(f13,definition,(
% 0.02/0.33 sF3_fnc=multiply(b3,c3)),
% 0.02/0.33 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.02/0.33 fof(f14,definition,(
% 0.02/0.33 sF2_fnc=multiply(a3,sF3_fnc)),
% 0.02/0.33 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.02/0.33 fof(f15,plain,(
% 0.02/0.33 ~sF0_fnc=sF2_fnc),
% 0.02/0.33 inference(definition_folding,[],[f10,f14,f13,f12,f11])).
% 0.02/0.33 fof(f16,plain,(
% 0.02/0.33 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity))=X1)),
% 0.02/0.33 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.02/0.33 fof(f17,plain,(
% 0.02/0.33 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.02/0.33 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.02/0.33 fof(f18,plain,(
% 0.02/0.33 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f8,f17])).
% 0.02/0.33 fof(f19,plain,(
% 0.02/0.33 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f17,f9])).
% 0.02/0.33 fof(f20,plain,(
% 0.02/0.33 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f9,f17])).
% 0.02/0.33 fof(f21,plain,(
% 0.02/0.33 ![X0,X1]: (multiply(multiply(X0,X1),double_divide(X1,X0))=inverse(identity))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f17,f20])).
% 0.02/0.33 fof(f27,plain,(
% 0.02/0.33 identity=double_divide(double_divide(c3,b3),sF3_fnc)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f13,f19])).
% 0.02/0.33 fof(f28,plain,(
% 0.02/0.33 identity=double_divide(double_divide(c3,sF1_fnc),sF0_fnc)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f12,f19])).
% 0.02/0.33 fof(f29,plain,(
% 0.02/0.33 identity=double_divide(double_divide(sF3_fnc,a3),sF2_fnc)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f14,f19])).
% 0.02/0.33 fof(f30,plain,(
% 0.02/0.33 identity=double_divide(double_divide(b3,a3),sF1_fnc)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f11,f19])).
% 0.02/0.33 fof(f38,plain,(
% 0.02/0.33 multiply(sF3_fnc,double_divide(c3,b3))=inverse(identity)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f27,f17])).
% 0.02/0.33 fof(f41,plain,(
% 0.02/0.33 multiply(sF0_fnc,double_divide(c3,sF1_fnc))=inverse(identity)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f28,f17])).
% 0.02/0.33 fof(f44,plain,(
% 0.02/0.33 multiply(sF2_fnc,double_divide(sF3_fnc,a3))=inverse(identity)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f29,f17])).
% 0.02/0.33 fof(f47,plain,(
% 0.02/0.33 multiply(sF1_fnc,double_divide(b3,a3))=inverse(identity)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f30,f17])).
% 0.02/0.33 fof(f95,plain,(
% 0.02/0.33 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(double_divide(X3,X1),double_divide(identity,inverse(identity)))),inverse(identity))=X3)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.02/0.33 fof(f96,plain,(
% 0.02/0.33 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,identity),double_divide(identity,multiply(X1,X0)))),inverse(identity))=X2)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f19,f16])).
% 0.02/0.33 fof(f98,plain,(
% 0.02/0.33 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),double_divide(identity,identity))),inverse(identity))=X1)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.02/0.33 fof(f99,plain,(
% 0.02/0.33 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(identity))),identity)),inverse(identity))=X1)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.02/0.33 fof(f108,plain,(
% 0.02/0.33 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(double_divide(X3,X1),identity)),inverse(identity))=X3)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f9,f95])).
% 0.02/0.33 fof(f109,plain,(
% 0.02/0.33 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(double_divide(X3,X1))),inverse(identity))=X3)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f8,f108])).
% 0.02/0.33 fof(f110,plain,(
% 0.02/0.33 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),multiply(X1,X3)),inverse(identity))=X3)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f17,f109])).
% 0.02/0.33 fof(f111,plain,(
% 0.02/0.33 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0)))),inverse(identity))=X2)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f8,f96])).
% 0.02/0.33 fof(f113,plain,(
% 0.02/0.33 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity))=X1)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f8,f98])).
% 0.02/0.33 fof(f114,plain,(
% 0.02/0.33 ![X0,X1]: (double_divide(double_divide(X0,inverse(double_divide(X1,double_divide(X0,inverse(identity))))),inverse(identity))=X1)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f8,f99])).
% 0.02/0.33 fof(f115,plain,(
% 0.02/0.33 ![X0,X1]: (double_divide(double_divide(X0,multiply(double_divide(X0,inverse(identity)),X1)),inverse(identity))=X1)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f17,f114])).
% 0.02/0.33 fof(f121,plain,(
% 0.02/0.33 ![X0]: (double_divide(double_divide(identity,multiply(identity,X0)),inverse(identity))=X0)),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f9,f115])).
% 0.02/0.33 fof(f126,plain,(
% 0.02/0.33 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),inverse(identity))=X0)),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f18,f121])).
% 0.02/0.33 fof(f132,plain,(
% 0.02/0.33 ![X0,X1]: (double_divide(double_divide(identity,inverse(multiply(X0,X1))),inverse(identity))=double_divide(X1,X0))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f17,f126])).
% 0.02/0.33 fof(f137,plain,(
% 0.02/0.33 ![X0]: (multiply(inverse(identity),double_divide(identity,inverse(inverse(X0))))=inverse(X0))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f126,f17])).
% 0.02/0.33 fof(f143,plain,(
% 0.02/0.33 ![X0,X1]: (multiply(inverse(identity),double_divide(identity,inverse(multiply(X0,X1))))=inverse(double_divide(X1,X0)))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f17,f137])).
% 0.02/0.33 fof(f146,plain,(
% 0.02/0.33 ![X0,X1]: (multiply(inverse(identity),double_divide(identity,inverse(multiply(X0,X1))))=multiply(X0,X1))),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f17,f143])).
% 0.02/0.33 fof(f234,plain,(
% 0.02/0.33 ![X0,X1,X2]: (double_divide(double_divide(double_divide(identity,inverse(multiply(X0,X1))),multiply(double_divide(X1,X0),X2)),inverse(identity))=X2)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f132,f115])).
% 0.02/0.34 fof(f340,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,identity),double_divide(identity,multiply(X1,X0)))),multiply(X2,X3)),inverse(identity))=X3)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f19,f110])).
% 0.02/0.34 fof(f345,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(multiply(X1,X2),double_divide(X0,X3)),double_divide(identity,X3))),inverse(identity)),inverse(identity))=double_divide(X2,X1))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f21,f110])).
% 0.02/0.34 fof(f346,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(sF2_fnc,double_divide(X0,X1)),double_divide(identity,X1))),inverse(identity)),inverse(identity))=double_divide(sF3_fnc,a3))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f44,f110])).
% 0.02/0.34 fof(f347,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(sF0_fnc,double_divide(X0,X1)),double_divide(identity,X1))),inverse(identity)),inverse(identity))=double_divide(c3,sF1_fnc))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f41,f110])).
% 0.02/0.34 fof(f348,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(sF3_fnc,double_divide(X0,X1)),double_divide(identity,X1))),inverse(identity)),inverse(identity))=double_divide(c3,b3))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f38,f110])).
% 0.02/0.34 fof(f355,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(X1),double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity)),inverse(identity))=X1)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f20,f110])).
% 0.02/0.34 fof(f358,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(sF1_fnc,double_divide(X0,X1)),double_divide(identity,X1))),inverse(identity)),inverse(identity))=double_divide(b3,a3))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f47,f110])).
% 0.02/0.34 fof(f401,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0)))),multiply(X2,X3)),inverse(identity))=X3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f340])).
% 0.02/0.34 fof(f407,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(multiply(X0,X1),inverse(identity))=double_divide(X1,X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f16,f345])).
% 0.02/0.34 fof(f408,plain,(
% 0.02/0.34 double_divide(sF2_fnc,inverse(identity))=double_divide(sF3_fnc,a3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f16,f346])).
% 0.02/0.34 fof(f409,plain,(
% 0.02/0.34 double_divide(sF0_fnc,inverse(identity))=double_divide(c3,sF1_fnc)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f16,f347])).
% 0.02/0.34 fof(f410,plain,(
% 0.02/0.34 double_divide(sF3_fnc,inverse(identity))=double_divide(c3,b3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f16,f348])).
% 0.02/0.34 fof(f411,plain,(
% 0.02/0.34 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f16,f355])).
% 0.02/0.34 fof(f412,plain,(
% 0.02/0.34 double_divide(sF1_fnc,inverse(identity))=double_divide(b3,a3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f16,f358])).
% 0.02/0.34 fof(f423,plain,(
% 0.02/0.34 ![X0]: (double_divide(double_divide(inverse(X0),X0),inverse(identity))=identity)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f126,f113])).
% 0.02/0.34 fof(f430,plain,(
% 0.02/0.34 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(identity,inverse(inverse(X0))))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f126,f113])).
% 0.02/0.34 fof(f433,plain,(
% 0.02/0.34 ![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))))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f113,f113])).
% 0.02/0.34 fof(f434,plain,(
% 0.02/0.34 ![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)),double_divide(identity,X2))))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f16,f113])).
% 0.02/0.34 fof(f436,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),inverse(identity))),inverse(identity))=X2)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f17,f113])).
% 0.02/0.34 fof(f465,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(identity,inverse(inverse(X0)))=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f430,f433])).
% 0.02/0.34 fof(f479,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(identity,inverse(inverse(X0)))=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f430,f434])).
% 0.02/0.34 fof(f545,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(identity),double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0)))))=inverse(X2))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f111,f17])).
% 0.02/0.34 fof(f661,plain,(
% 0.02/0.34 ![X0]: (multiply(inverse(identity),inverse(X0))=inverse(X0))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f411,f17])).
% 0.02/0.34 fof(f699,plain,(
% 0.02/0.34 double_divide(inverse(inverse(identity)),inverse(identity))=identity),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f8,f423])).
% 0.02/0.34 fof(f707,plain,(
% 0.02/0.34 double_divide(sF1_fnc,identity)=double_divide(b3,a3)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f412])).
% 0.02/0.34 fof(f708,plain,(
% 0.02/0.34 ![X0]: (multiply(identity,inverse(X0))=inverse(X0))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f661])).
% 0.02/0.34 fof(f709,plain,(
% 0.02/0.34 ![X0]: (double_divide(inverse(X0),identity)=X0)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f411])).
% 0.02/0.34 fof(f712,plain,(
% 0.02/0.34 double_divide(sF3_fnc,identity)=double_divide(c3,b3)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f410])).
% 0.02/0.34 fof(f714,plain,(
% 0.02/0.34 double_divide(sF0_fnc,identity)=double_divide(c3,sF1_fnc)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f409])).
% 0.02/0.34 fof(f716,plain,(
% 0.02/0.34 double_divide(sF2_fnc,identity)=double_divide(sF3_fnc,a3)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f408])).
% 0.02/0.34 fof(f727,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(identity,double_divide(identity,inverse(multiply(X0,X1))))=multiply(X0,X1))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f146])).
% 0.02/0.34 fof(f728,plain,(
% 0.02/0.34 ![X0]: (multiply(identity,double_divide(identity,inverse(inverse(X0))))=inverse(X0))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f137])).
% 0.02/0.34 fof(f738,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(identity,double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0)))))=inverse(X2))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f545])).
% 0.02/0.34 fof(f750,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),inverse(identity))),identity)=X2)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f436])).
% 0.02/0.34 fof(f751,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(identity,inverse(inverse(X0)))=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),identity)))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f465])).
% 0.02/0.34 fof(f759,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(multiply(X0,X1),identity)=double_divide(X1,X0))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f407])).
% 0.02/0.34 fof(f760,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0)))),multiply(X2,X3)),identity)=X3)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f401])).
% 0.02/0.34 fof(f775,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(double_divide(double_divide(identity,inverse(multiply(X0,X1))),multiply(double_divide(X1,X0),X2)),identity)=X2)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f780,f234])).
% 0.02/0.34 fof(f780,plain,(
% 0.02/0.34 inverse(identity)=identity),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f411,f699])).
% 0.02/0.34 fof(f809,plain,(
% 0.02/0.34 inverse(sF1_fnc)=double_divide(b3,a3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f707])).
% 0.02/0.34 fof(f810,plain,(
% 0.02/0.34 ![X0]: (inverse(inverse(inverse(X0)))=inverse(X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f18,f708])).
% 0.02/0.34 fof(f815,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(identity,X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f817,f479])).
% 0.02/0.34 fof(f817,plain,(
% 0.02/0.34 ![X0]: (inverse(inverse(X0))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f709])).
% 0.02/0.34 fof(f823,plain,(
% 0.02/0.34 inverse(sF3_fnc)=double_divide(c3,b3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f712])).
% 0.02/0.34 fof(f826,plain,(
% 0.02/0.34 inverse(sF0_fnc)=double_divide(c3,sF1_fnc)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f714])).
% 0.02/0.34 fof(f829,plain,(
% 0.02/0.34 inverse(sF2_fnc)=double_divide(sF3_fnc,a3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f716])).
% 0.02/0.34 fof(f854,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(inverse(double_divide(identity,inverse(multiply(X0,X1)))))=multiply(X0,X1))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f18,f727])).
% 0.02/0.34 fof(f855,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(identity,inverse(multiply(X0,X1)))=multiply(X0,X1))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f854])).
% 0.02/0.34 fof(f856,plain,(
% 0.02/0.34 ![X0]: (inverse(inverse(double_divide(identity,inverse(inverse(X0)))))=inverse(X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f18,f728])).
% 0.02/0.34 fof(f857,plain,(
% 0.02/0.34 ![X0]: (double_divide(identity,inverse(inverse(X0)))=inverse(X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f856])).
% 0.02/0.34 fof(f865,plain,(
% 0.02/0.34 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f857])).
% 0.02/0.34 fof(f883,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(inverse(double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0))))))=inverse(X2))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f18,f738])).
% 0.02/0.34 fof(f884,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0))))=inverse(X2))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f883])).
% 0.02/0.34 fof(f885,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),double_divide(inverse(X2),inverse(multiply(X1,X0))))=inverse(X2))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f865,f884])).
% 0.02/0.34 fof(f949,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),inverse(identity))))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f750])).
% 0.02/0.34 fof(f950,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,multiply(X1,X2)),inverse(identity)),double_divide(X2,X1))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f949])).
% 0.02/0.34 fof(f951,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,multiply(X1,X2)),identity),double_divide(X2,X1))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f780,f950])).
% 0.02/0.34 fof(f952,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,multiply(X1,X2))),double_divide(X2,X1))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f951])).
% 0.02/0.34 fof(f953,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f952])).
% 0.02/0.34 fof(f954,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(inverse(inverse(X0)))=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),identity)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f865,f751])).
% 0.02/0.34 fof(f955,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),identity)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f810,f954])).
% 0.02/0.34 fof(f956,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(X0)=double_divide(X1,inverse(double_divide(X0,inverse(X1)))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f955])).
% 0.02/0.34 fof(f957,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(X0)=double_divide(X1,multiply(inverse(X1),X0)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f956])).
% 0.02/0.34 fof(f987,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f759])).
% 0.02/0.34 fof(f988,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (inverse(double_divide(double_divide(double_divide(X0,X1),double_divide(inverse(X2),double_divide(identity,multiply(X1,X0)))),multiply(X2,X3)))=X3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f760])).
% 0.02/0.34 fof(f989,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),double_divide(inverse(X0),double_divide(identity,multiply(X3,X2)))))=X1)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f988])).
% 0.02/0.34 fof(f990,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),double_divide(inverse(X0),inverse(multiply(X3,X2)))))=X1)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f865,f989])).
% 0.02/0.34 fof(f991,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f885,f990])).
% 0.02/0.34 fof(f1051,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(double_divide(double_divide(identity,inverse(multiply(X0,X1))),multiply(double_divide(X1,X0),X2)))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f8,f775])).
% 0.02/0.34 fof(f1052,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(multiply(double_divide(X0,X1),X2),double_divide(identity,inverse(multiply(X1,X0))))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f1051])).
% 0.02/0.34 fof(f1053,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(multiply(double_divide(X0,X1),X2),multiply(X1,X0))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f855,f1052])).
% 0.02/0.34 fof(f1077,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f865,f815])).
% 0.02/0.34 fof(f1078,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f865,f1077])).
% 0.02/0.34 fof(f1232,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f991,f991])).
% 0.02/0.34 fof(f1244,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f817,f991])).
% 0.02/0.34 fof(f1250,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f987,f1232])).
% 0.02/0.34 fof(f1292,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),X0))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1250,f1244])).
% 0.02/0.34 fof(f1294,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=double_divide(X1,X0))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1250,f991])).
% 0.02/0.34 fof(f1295,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(inverse(X0))=double_divide(double_divide(X1,X0),X1))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1250,f987])).
% 0.02/0.34 fof(f1313,plain,(
% 0.02/0.34 ![X0,X1]: (X0=double_divide(double_divide(X1,X0),X1))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f1295])).
% 0.02/0.34 fof(f1325,plain,(
% 0.02/0.34 ![X0,X1]: (X0=double_divide(X1,double_divide(X0,X1)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1313,f1313])).
% 0.02/0.34 fof(f1503,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(double_divide(inverse(X0),X1))=double_divide(X0,inverse(X1)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1250,f957])).
% 0.02/0.34 fof(f1529,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,multiply(X2,inverse(double_divide(X0,double_divide(X1,X2))))))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f1530,f1078])).
% 0.02/0.34 fof(f1530,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(X1,inverse(X0)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f1503])).
% 0.02/0.34 fof(f1551,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,multiply(X2,multiply(double_divide(X1,X2),X0))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f1529])).
% 0.02/0.34 fof(f1725,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,inverse(double_divide(inverse(X0),X1)))=X1)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1313,f1530])).
% 0.02/0.34 fof(f1742,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f1725])).
% 0.02/0.34 fof(f1770,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0)))=X2)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f17,f1742])).
% 0.02/0.34 fof(f2503,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(inverse(X0))=double_divide(X1,double_divide(X1,X0)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1742,f1551])).
% 0.02/0.34 fof(f2504,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,X2)))=double_divide(X2,multiply(X1,X0)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1770,f1551])).
% 0.02/0.34 fof(f2507,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(multiply(X0,inverse(double_divide(X1,X2))))=double_divide(X1,multiply(X2,X0)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1742,f1551])).
% 0.02/0.34 fof(f2508,plain,(
% 0.02/0.34 ![X0,X1,X2]: (inverse(double_divide(double_divide(X0,X1),X2))=double_divide(X0,multiply(X1,inverse(X2))))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1250,f1551])).
% 0.02/0.34 fof(f2527,plain,(
% 0.02/0.34 ![X0,X1]: (inverse(multiply(double_divide(X0,inverse(X0)),X1))=inverse(X1))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1551,f957])).
% 0.02/0.34 fof(f2549,plain,(
% 0.02/0.34 ![X0,X1]: (X0=double_divide(X1,double_divide(X1,X0)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f2503])).
% 0.02/0.34 fof(f2556,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=double_divide(X1,multiply(X0,X2)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f987,f2504])).
% 0.02/0.34 fof(f2558,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,X1)),X2)=double_divide(X0,multiply(X1,X2)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f987,f2507])).
% 0.02/0.34 fof(f2559,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(X1,X2))=double_divide(X1,multiply(X2,X0)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f1292,f2558])).
% 0.02/0.34 fof(f2561,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(X0,double_divide(X1,X2))=double_divide(X1,multiply(X2,inverse(X0))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f17,f2508])).
% 0.02/0.34 fof(f2589,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(X0,double_divide(X1,inverse(X1)))=inverse(X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f987,f2527])).
% 0.02/0.34 fof(f2590,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(X0,multiply(X1,inverse(X1)))=inverse(X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f1530,f2589])).
% 0.02/0.34 fof(f2592,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2561,f2590])).
% 0.02/0.34 fof(f2661,plain,(
% 0.02/0.34 sF1_fnc=double_divide(c3,inverse(sF0_fnc))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f826,f2549])).
% 0.02/0.34 fof(f2662,plain,(
% 0.02/0.34 b3=double_divide(c3,inverse(sF3_fnc))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f823,f2549])).
% 0.02/0.34 fof(f2668,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f957,f2549])).
% 0.02/0.34 fof(f2670,plain,(
% 0.02/0.34 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1325,f2549])).
% 0.02/0.34 fof(f2681,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2549,f1250])).
% 0.02/0.34 fof(f2691,plain,(
% 0.02/0.34 sF1_fnc=multiply(sF0_fnc,inverse(c3))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f1530,f2661])).
% 0.02/0.34 fof(f2692,plain,(
% 0.02/0.34 b3=multiply(sF3_fnc,inverse(c3))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f1530,f2662])).
% 0.02/0.34 fof(f2697,plain,(
% 0.02/0.34 inverse(sF2_fnc)=double_divide(a3,sF3_fnc)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f2670,f829])).
% 0.02/0.34 fof(f2699,plain,(
% 0.02/0.34 inverse(sF1_fnc)=double_divide(a3,b3)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f2670,f809])).
% 0.02/0.34 fof(f2717,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=inverse(inverse(X1)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1292,f2592])).
% 0.02/0.34 fof(f2735,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f2717])).
% 0.02/0.34 fof(f2755,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X1,X2))=double_divide(X0,double_divide(X2,X1)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2592,f1053])).
% 0.02/0.34 fof(f2972,plain,(
% 0.02/0.34 multiply(c3,sF1_fnc)=sF0_fnc),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2691,f1742])).
% 0.02/0.34 fof(f3080,plain,(
% 0.02/0.34 ![X0]: (multiply(inverse(sF2_fnc),multiply(X0,multiply(sF3_fnc,a3)))=X0)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2697,f1770])).
% 0.02/0.34 fof(f3090,plain,(
% 0.02/0.34 ![X0]: (double_divide(sF2_fnc,double_divide(multiply(sF3_fnc,a3),X0))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2755,f3080])).
% 0.02/0.34 fof(f3091,plain,(
% 0.02/0.34 ![X0]: (double_divide(sF2_fnc,double_divide(a3,multiply(sF3_fnc,X0)))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2556,f3090])).
% 0.02/0.34 fof(f3152,plain,(
% 0.02/0.34 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f17,f2681])).
% 0.02/0.34 fof(f3165,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(X1,X2))=double_divide(multiply(X1,X2),X0))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2681,f1292])).
% 0.02/0.34 fof(f3166,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X1,X2))=double_divide(double_divide(X1,X2),X0))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2681,f1294])).
% 0.02/0.34 fof(f3180,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(multiply(X1,X0),X2))=X2)),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f3152,f953])).
% 0.02/0.34 fof(f3211,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,multiply(X1,X2))=double_divide(multiply(X0,X1),X2))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2559,f3165])).
% 0.02/0.34 fof(f3366,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(X0),multiply(multiply(multiply(inverse(X1),X0),X1),X2))=X2)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f957,f3180])).
% 0.02/0.34 fof(f3430,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(double_divide(multiply(multiply(inverse(X0),X1),X0),X2),X1)=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3166,f3366])).
% 0.02/0.34 fof(f3431,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,double_divide(multiply(multiply(inverse(X1),X0),X1),X2))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2670,f3430])).
% 0.02/0.34 fof(f3432,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,double_divide(multiply(inverse(X1),X0),multiply(X1,X2)))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3211,f3431])).
% 0.02/0.34 fof(f3433,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,double_divide(inverse(X1),multiply(X0,multiply(X1,X2))))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3211,f3432])).
% 0.02/0.34 fof(f3434,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,multiply(inverse(multiply(X0,multiply(X1,X2))),X1))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f1292,f3433])).
% 0.02/0.34 fof(f3435,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,multiply(X1,inverse(multiply(X0,multiply(X1,X2)))))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3152,f3434])).
% 0.02/0.34 fof(f3436,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(X0,X1))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2561,f3435])).
% 0.02/0.34 fof(f3437,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X0,multiply(X1,X2)))=X2)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3152,f3436])).
% 0.02/0.34 fof(f3623,plain,(
% 0.02/0.34 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X1,X2)),multiply(X0,X3))=multiply(X1,multiply(X2,X3)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f3437,f3437])).
% 0.02/0.34 fof(f3645,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2735,f3437])).
% 0.02/0.34 fof(f3721,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,X1)),X2)=multiply(X0,multiply(X1,X2)))),
% 0.02/0.34 inference(backward_demodulation,[status(thm)],[f3645,f3623])).
% 0.02/0.34 fof(f3790,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2681,f3721])).
% 0.02/0.34 fof(f3889,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(X0,double_divide(X1,inverse(X2)))=double_divide(X1,double_divide(X0,X2)))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f1294,f2561])).
% 0.02/0.34 fof(f3913,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1)),X2)=inverse(multiply(X1,double_divide(X2,X0))))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2561,f17])).
% 0.02/0.34 fof(f3932,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X2))=double_divide(X1,double_divide(X0,X2)))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2668,f3889])).
% 0.02/0.34 fof(f3979,plain,(
% 0.02/0.34 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X2))=inverse(multiply(X1,double_divide(X2,X0))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3790,f3913])).
% 0.02/0.34 fof(f3980,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,double_divide(X1,X2))=inverse(multiply(X0,double_divide(X2,X1))))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3932,f3979])).
% 0.02/0.34 fof(f3981,plain,(
% 0.02/0.34 ![X0,X1,X2]: (double_divide(X0,double_divide(X1,X2))=double_divide(double_divide(X2,X1),X0))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f987,f3980])).
% 0.02/0.34 fof(f3987,plain,(
% 0.02/0.34 double_divide(sF2_fnc,double_divide(a3,b3))=inverse(c3)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2692,f3091])).
% 0.02/0.34 fof(f4002,plain,(
% 0.02/0.34 double_divide(sF2_fnc,inverse(sF1_fnc))=inverse(c3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2699,f3987])).
% 0.02/0.34 fof(f4003,plain,(
% 0.02/0.34 multiply(inverse(sF2_fnc),sF1_fnc)=inverse(c3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2668,f4002])).
% 0.02/0.34 fof(f4004,plain,(
% 0.02/0.34 multiply(sF1_fnc,inverse(sF2_fnc))=inverse(c3)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3152,f4003])).
% 0.02/0.34 fof(f4030,plain,(
% 0.02/0.34 inverse(inverse(c3))=double_divide(inverse(sF2_fnc),sF1_fnc)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f4004,f987])).
% 0.02/0.34 fof(f4042,plain,(
% 0.02/0.34 c3=double_divide(inverse(sF2_fnc),sF1_fnc)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f817,f4030])).
% 0.02/0.34 fof(f4043,plain,(
% 0.02/0.34 c3=multiply(inverse(sF1_fnc),sF2_fnc)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f1292,f4042])).
% 0.02/0.34 fof(f4044,plain,(
% 0.02/0.34 c3=multiply(sF2_fnc,inverse(sF1_fnc))),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3152,f4043])).
% 0.02/0.34 fof(f4046,plain,(
% 0.02/0.34 ![X0]: (multiply(double_divide(inverse(sF1_fnc),sF2_fnc),multiply(X0,c3))=X0)),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f4044,f1770])).
% 0.02/0.34 fof(f4048,plain,(
% 0.02/0.34 ![X0]: (multiply(multiply(inverse(sF2_fnc),sF1_fnc),multiply(X0,c3))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f1292,f4046])).
% 0.02/0.34 fof(f4049,plain,(
% 0.02/0.34 ![X0]: (multiply(inverse(sF2_fnc),multiply(sF1_fnc,multiply(X0,c3)))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3790,f4048])).
% 0.02/0.34 fof(f4050,plain,(
% 0.02/0.34 ![X0]: (double_divide(double_divide(sF1_fnc,multiply(X0,c3)),sF2_fnc)=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3166,f4049])).
% 0.02/0.34 fof(f4051,plain,(
% 0.02/0.34 ![X0]: (double_divide(sF2_fnc,double_divide(multiply(X0,c3),sF1_fnc))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3981,f4050])).
% 0.02/0.34 fof(f4052,plain,(
% 0.02/0.34 ![X0]: (double_divide(sF2_fnc,double_divide(X0,multiply(c3,sF1_fnc)))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f3211,f4051])).
% 0.02/0.34 fof(f4053,plain,(
% 0.02/0.34 ![X0]: (double_divide(sF2_fnc,double_divide(X0,sF0_fnc))=X0)),
% 0.02/0.34 inference(forward_demodulation,[status(thm)],[f2972,f4052])).
% 0.02/0.34 fof(f4056,plain,(
% 0.02/0.34 sF0_fnc=sF2_fnc),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f2549,f4053])).
% 0.02/0.34 fof(f4067,plain,(
% 0.02/0.34 $false),
% 0.02/0.34 inference(forward_subsumption_resolution,[status(thm)],[f4056,f15])).
% 0.02/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.35 % Elapsed time: 0.048913 seconds
% 0.02/0.35 % CPU time: 0.274088 seconds
% 0.02/0.35 % Total memory used: 14.781 MB
% 0.02/0.35 % Net memory used: 13.770 MB
%------------------------------------------------------------------------------