%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP495-1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:43 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP495-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:14:36 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![A,B,C]: (double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = B ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2)))=X1)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f11,definition,(
% 0.13/0.38 sF1_fnc=multiply(a3,b3)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.13/0.38 fof(f12,definition,(
% 0.13/0.38 sF0_fnc=multiply(sF1_fnc,c3)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.38 fof(f13,definition,(
% 0.13/0.38 sF3_fnc=multiply(b3,c3)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.13/0.38 fof(f14,definition,(
% 0.13/0.38 sF2_fnc=multiply(a3,sF3_fnc)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ~sF0_fnc=sF2_fnc),
% 0.13/0.38 inference(definition_folding,[],[f10,f14,f13,f12,f11])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2)))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f9])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 identity=double_divide(double_divide(c3,b3),sF3_fnc)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f13,f19])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(inverse(identity),double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(identity,X1)))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 ![X0]: (double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,sF3_fnc)))=double_divide(c3,b3))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f27,f16])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,inverse(X1))))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),double_divide(X0,identity)))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 ![X0]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,sF3_fnc)))=double_divide(c3,b3))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f9,f97])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1))))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f9,f99])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),inverse(X0)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f100])).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X0))))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f8,f117])).
% 0.13/0.38 fof(f136,plain,(
% 0.13/0.38 ![X0]: (double_divide(double_divide(identity,X0),double_divide(identity,identity))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f117])).
% 0.13/0.38 fof(f143,plain,(
% 0.13/0.38 ![X0]: (double_divide(double_divide(identity,X0),inverse(identity))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f136])).
% 0.13/0.38 fof(f146,plain,(
% 0.13/0.38 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f143])).
% 0.13/0.38 fof(f149,plain,(
% 0.13/0.38 ![X0]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,X0))=identity)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f143,f117])).
% 0.13/0.38 fof(f150,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,inverse(identity)),inverse(identity)),X0))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f143,f16])).
% 0.13/0.38 fof(f151,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(X1,inverse(identity)),double_divide(X0,inverse(identity))))=double_divide(identity,X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f143,f16])).
% 0.13/0.38 fof(f156,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2)))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f179,f16])).
% 0.13/0.38 fof(f165,plain,(
% 0.13/0.38 ![X0]: (double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0))))=X0)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f179,f135])).
% 0.13/0.38 fof(f175,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),identity),inverse(X0)))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f179,f118])).
% 0.13/0.38 fof(f177,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(inverse(identity),double_divide(double_divide(double_divide(X0,X1),identity),double_divide(identity,X1)))=X0)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f179,f92])).
% 0.13/0.38 fof(f179,plain,(
% 0.13/0.38 identity=inverse(identity)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f9,f146])).
% 0.13/0.38 fof(f181,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,identity),inverse(identity)),X0))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f179,f150])).
% 0.13/0.38 fof(f182,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(inverse(X1),inverse(identity)),X0))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f181])).
% 0.13/0.38 fof(f183,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(inverse(X1),identity),X0))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f179,f182])).
% 0.13/0.38 fof(f184,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(inverse(inverse(X1)),X0))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f183])).
% 0.13/0.38 fof(f185,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(X1,identity),double_divide(X0,inverse(identity))))=double_divide(identity,X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f179,f151])).
% 0.13/0.38 fof(f186,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(X1),double_divide(X0,inverse(identity))))=double_divide(identity,X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f185])).
% 0.13/0.38 fof(f187,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(X1),double_divide(X0,identity)))=double_divide(identity,X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f179,f186])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(X1),inverse(X0)))=double_divide(identity,X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f187])).
% 0.13/0.38 fof(f204,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f156])).
% 0.13/0.38 fof(f205,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(multiply(X1,X2),double_divide(X0,X1)))=X2)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f204])).
% 0.13/0.38 fof(f228,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(inverse(X1)),inverse(X0)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f175])).
% 0.13/0.38 fof(f229,plain,(
% 0.13/0.38 ![X0]: (double_divide(identity,double_divide(identity,X0))=X0)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f230,f165])).
% 0.13/0.38 fof(f230,plain,(
% 0.13/0.38 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f188,f228])).
% 0.13/0.38 fof(f235,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(identity,X1)))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f179,f177])).
% 0.13/0.38 fof(f236,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(identity,double_divide(inverse(double_divide(X0,X1)),double_divide(identity,X1)))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f235])).
% 0.13/0.38 fof(f237,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(identity,double_divide(multiply(X0,X1),double_divide(identity,X0)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f236])).
% 0.13/0.38 fof(f243,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(X0,double_divide(inverse(inverse(X1)),X0))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f229,f184])).
% 0.13/0.38 fof(f244,plain,(
% 0.13/0.38 ![X0]: (double_divide(X0,double_divide(identity,X0))=identity)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f229,f149])).
% 0.13/0.38 fof(f274,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(X0),X0)=identity)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f230,f244])).
% 0.13/0.38 fof(f295,plain,(
% 0.13/0.38 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),double_divide(identity,identity))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f274,f117])).
% 0.13/0.38 fof(f301,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(X0),double_divide(identity,identity))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f230,f295])).
% 0.13/0.38 fof(f302,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f301])).
% 0.13/0.38 fof(f303,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(X0),identity)=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f179,f302])).
% 0.13/0.38 fof(f305,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f306,f243])).
% 0.13/0.38 fof(f306,plain,(
% 0.13/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f303])).
% 0.13/0.38 fof(f317,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f306])).
% 0.13/0.38 fof(f319,plain,(
% 0.13/0.38 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f306,f230])).
% 0.13/0.38 fof(f321,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,X1)))=inverse(X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f306,f117])).
% 0.13/0.38 fof(f333,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(double_divide(multiply(X0,X1),double_divide(identity,X0)))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f319,f237])).
% 0.13/0.38 fof(f339,plain,(
% 0.13/0.38 ![X0]: (double_divide(double_divide(identity,X0),inverse(double_divide(X0,sF3_fnc)))=double_divide(c3,b3))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f319,f115])).
% 0.13/0.38 fof(f347,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(X1,X2),double_divide(X0,X1)))=X2)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f319,f205])).
% 0.13/0.38 fof(f349,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1)))=inverse(X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f319,f321])).
% 0.13/0.38 fof(f350,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(inverse(X0),inverse(double_divide(X0,X1)))=inverse(X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f319,f349])).
% 0.13/0.38 fof(f351,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(inverse(X0),multiply(X1,X0))=inverse(X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f350])).
% 0.13/0.38 fof(f371,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(double_divide(identity,X0),multiply(X0,X1))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f333])).
% 0.13/0.38 fof(f372,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f319,f371])).
% 0.13/0.38 fof(f383,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(X0),inverse(double_divide(X0,sF3_fnc)))=double_divide(c3,b3))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f319,f339])).
% 0.13/0.38 fof(f384,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(X0),multiply(sF3_fnc,X0))=double_divide(c3,b3))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f383])).
% 0.13/0.38 fof(f387,plain,(
% 0.13/0.38 inverse(sF3_fnc)=double_divide(c3,b3)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f351,f384])).
% 0.13/0.38 fof(f415,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f305,f305])).
% 0.13/0.38 fof(f419,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f305,f17])).
% 0.13/0.38 fof(f485,plain,(
% 0.13/0.38 ![X0]: (double_divide(inverse(X0),double_divide(sF0_fnc,double_divide(X0,sF1_fnc)))=c3)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f12,f347])).
% 0.13/0.38 fof(f544,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f306,f372])).
% 0.13/0.38 fof(f553,plain,(
% 0.13/0.38 multiply(inverse(a3),sF1_fnc)=b3),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f11,f372])).
% 0.13/0.38 fof(f625,plain,(
% 0.13/0.38 ![X0]: (double_divide(c3,inverse(X0))=double_divide(sF0_fnc,double_divide(X0,sF1_fnc)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f485,f415])).
% 0.13/0.38 fof(f748,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(double_divide(X0,X1)),inverse(X0))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f419,f372])).
% 0.13/0.38 fof(f759,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f748])).
% 0.13/0.38 fof(f778,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f306,f759])).
% 0.13/0.38 fof(f903,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f419,f778])).
% 0.13/0.38 fof(f924,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(c3),X0)=double_divide(sF0_fnc,double_divide(X0,sF1_fnc)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f903,f625])).
% 0.13/0.38 fof(f1122,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(X1,X2))=double_divide(X0,multiply(X2,X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f903])).
% 0.13/0.38 fof(f2015,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(c3),double_divide(sF1_fnc,X0))=double_divide(sF0_fnc,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f415,f924])).
% 0.13/0.38 fof(f2029,plain,(
% 0.13/0.38 ![X0]: (double_divide(c3,multiply(X0,sF1_fnc))=double_divide(sF0_fnc,X0))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f1122,f2015])).
% 0.13/0.38 fof(f2057,plain,(
% 0.13/0.38 double_divide(c3,b3)=double_divide(sF0_fnc,inverse(a3))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f553,f2029])).
% 0.13/0.38 fof(f2072,plain,(
% 0.13/0.38 inverse(sF3_fnc)=double_divide(sF0_fnc,inverse(a3))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f387,f2057])).
% 0.13/0.38 fof(f2073,plain,(
% 0.13/0.38 inverse(sF3_fnc)=multiply(inverse(sF0_fnc),a3)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f903,f2072])).
% 0.13/0.38 fof(f2085,plain,(
% 0.13/0.38 inverse(inverse(sF3_fnc))=double_divide(a3,inverse(sF0_fnc))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f2073,f317])).
% 0.13/0.38 fof(f2095,plain,(
% 0.13/0.38 sF3_fnc=double_divide(a3,inverse(sF0_fnc))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f306,f2085])).
% 0.13/0.38 fof(f2096,plain,(
% 0.13/0.38 sF3_fnc=multiply(inverse(a3),sF0_fnc)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f903,f2095])).
% 0.13/0.38 fof(f2102,plain,(
% 0.13/0.38 multiply(a3,sF3_fnc)=sF0_fnc),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f2096,f544])).
% 0.13/0.38 fof(f2107,plain,(
% 0.13/0.39 sF2_fnc=sF0_fnc),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f2102,f14])).
% 0.13/0.39 fof(f2115,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2107,f15])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.041360 seconds
% 0.13/0.40 % CPU time: 0.167373 seconds
% 0.13/0.40 % Total memory used: 8.159 MB
% 0.13/0.40 % Net memory used: 7.486 MB
%------------------------------------------------------------------------------