%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP574-1 : 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 : n019.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP574-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.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 20:17:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![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 ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 multiply(identity,a2) != a2 ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![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)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ~multiply(identity,a2)=a2),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f11,definition,(
% 0.13/0.39 sF0_fnc=multiply(identity,a2)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ~sF0_fnc=a2),
% 0.13/0.39 inference(definition_folding,[],[f10,f11])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity))=X1)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity))=X1)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![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)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),inverse(identity))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![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)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f14,f15])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![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)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f14,f20])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity))=X1)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f21])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,inverse(X0))=inverse(multiply(identity,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X0]: (identity=double_divide(inverse(X0),multiply(identity,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f17,f9])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 identity=double_divide(inverse(a2),sF0_fnc)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f11,f31])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(sF0_fnc,double_divide(double_divide(X0,identity),inverse(inverse(a2)))),inverse(identity))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f34,f15])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(sF0_fnc,double_divide(inverse(X0),inverse(inverse(a2)))),inverse(identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f40])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(sF0_fnc,double_divide(inverse(X0),multiply(identity,a2))),inverse(identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f17,f42])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(sF0_fnc,double_divide(inverse(X0),sF0_fnc)),inverse(identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f11,f43])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 ![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))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f15,f25])).
% 0.13/0.39 fof(f231,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f26])).
% 0.13/0.39 fof(f241,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (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(inverse(X3),double_divide(inverse(X0),inverse(X3))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f26,f25])).
% 0.13/0.39 fof(f248,plain,(
% 0.13/0.39 ![X0]: (double_divide(inverse(inverse(inverse(X0))),inverse(identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f231])).
% 0.13/0.39 fof(f249,plain,(
% 0.13/0.39 ![X0]: (double_divide(multiply(identity,inverse(X0)),inverse(identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f17,f248])).
% 0.13/0.39 fof(f263,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(multiply(identity,multiply(X0,X1)),inverse(identity))=double_divide(X1,X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f14,f249])).
% 0.13/0.39 fof(f267,plain,(
% 0.13/0.39 ![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))=multiply(identity,inverse(X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f249,f25])).
% 0.13/0.39 fof(f270,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(identity),multiply(identity,inverse(X0)))=inverse(X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f249,f14])).
% 0.13/0.39 fof(f275,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,inverse(X0))=double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1))))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f267,f241])).
% 0.13/0.39 fof(f276,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(identity,inverse(X0))=double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f267,f76])).
% 0.13/0.39 fof(f305,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(inverse(identity),multiply(identity,multiply(X0,X1)))=inverse(double_divide(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f14,f270])).
% 0.13/0.39 fof(f312,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(inverse(identity),multiply(identity,multiply(X0,X1)))=multiply(X0,X1))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f14,f305])).
% 0.13/0.39 fof(f353,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=multiply(identity,inverse(X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f249,f22])).
% 0.13/0.39 fof(f356,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(sF0_fnc,double_divide(inverse(X0),sF0_fnc)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f44,f22])).
% 0.13/0.39 fof(f357,plain,(
% 0.13/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f22])).
% 0.13/0.39 fof(f373,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,inverse(X0))=double_divide(sF0_fnc,double_divide(inverse(X0),sF0_fnc)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f353,f356])).
% 0.13/0.39 fof(f406,plain,(
% 0.13/0.39 ![X0]: (multiply(double_divide(inverse(X0),sF0_fnc),sF0_fnc)=inverse(multiply(identity,inverse(X0))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f373,f14])).
% 0.13/0.39 fof(f414,plain,(
% 0.13/0.39 ![X0]: (multiply(double_divide(inverse(X0),sF0_fnc),sF0_fnc)=multiply(identity,inverse(inverse(X0))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f27,f406])).
% 0.13/0.39 fof(f419,plain,(
% 0.13/0.39 ![X0]: (multiply(double_divide(inverse(X0),sF0_fnc),sF0_fnc)=multiply(identity,multiply(identity,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f17,f414])).
% 0.13/0.39 fof(f421,plain,(
% 0.13/0.39 double_divide(double_divide(identity,identity),inverse(identity))=identity),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f9,f357])).
% 0.13/0.39 fof(f429,plain,(
% 0.13/0.39 double_divide(inverse(identity),inverse(identity))=identity),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f421])).
% 0.13/0.39 fof(f554,plain,(
% 0.13/0.39 double_divide(multiply(identity,sF0_fnc),inverse(identity))=double_divide(a2,identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f11,f263])).
% 0.13/0.39 fof(f575,plain,(
% 0.13/0.39 double_divide(multiply(identity,sF0_fnc),inverse(identity))=inverse(a2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f554])).
% 0.13/0.39 fof(f658,plain,(
% 0.13/0.39 multiply(identity,inverse(identity))=double_divide(inverse(identity),identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f429,f275])).
% 0.13/0.39 fof(f678,plain,(
% 0.13/0.39 multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f658])).
% 0.13/0.39 fof(f679,plain,(
% 0.13/0.39 multiply(identity,inverse(identity))=multiply(identity,identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f17,f678])).
% 0.13/0.39 fof(f754,plain,(
% 0.13/0.39 double_divide(multiply(identity,multiply(identity,identity)),inverse(identity))=double_divide(inverse(identity),identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f679,f263])).
% 0.13/0.39 fof(f771,plain,(
% 0.13/0.39 double_divide(identity,identity)=double_divide(inverse(identity),identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f263,f754])).
% 0.13/0.39 fof(f772,plain,(
% 0.13/0.39 inverse(identity)=double_divide(inverse(identity),identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f771])).
% 0.13/0.39 fof(f773,plain,(
% 0.13/0.39 inverse(identity)=inverse(inverse(identity))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f772])).
% 0.13/0.39 fof(f782,plain,(
% 0.13/0.39 inverse(identity)=multiply(identity,identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f17,f773])).
% 0.13/0.39 fof(f811,plain,(
% 0.13/0.39 double_divide(multiply(identity,inverse(identity)),inverse(identity))=double_divide(identity,identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f782,f263])).
% 0.13/0.39 fof(f812,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(identity,identity),X0)),inverse(identity))),inverse(identity))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f782,f23])).
% 0.13/0.39 fof(f813,plain,(
% 0.13/0.39 multiply(inverse(identity),multiply(identity,inverse(identity)))=multiply(identity,identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f782,f312])).
% 0.13/0.39 fof(f822,plain,(
% 0.13/0.39 identity=double_divide(identity,identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f249,f811])).
% 0.13/0.39 fof(f826,plain,(
% 0.13/0.39 double_divide(multiply(identity,sF0_fnc),identity)=inverse(a2)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f877,f575])).
% 0.13/0.39 fof(f877,plain,(
% 0.13/0.39 identity=inverse(identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f822])).
% 0.13/0.39 fof(f878,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(inverse(identity),X0)),inverse(identity))),inverse(identity))=X1)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f812])).
% 0.13/0.39 fof(f879,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(identity,X0)),inverse(identity))),inverse(identity))=X1)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f877,f878])).
% 0.13/0.39 fof(f880,plain,(
% 0.13/0.39 ![X0]: (double_divide(multiply(identity,inverse(X0)),inverse(identity))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f276,f879])).
% 0.13/0.39 fof(f881,plain,(
% 0.13/0.39 ![X0]: (double_divide(multiply(identity,inverse(X0)),identity)=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f877,f880])).
% 0.13/0.39 fof(f882,plain,(
% 0.13/0.39 ![X0]: (inverse(multiply(identity,inverse(X0)))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f881])).
% 0.13/0.39 fof(f883,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,inverse(inverse(X0)))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f27,f882])).
% 0.13/0.39 fof(f885,plain,(
% 0.13/0.39 ![X0]: (multiply(double_divide(inverse(X0),sF0_fnc),sF0_fnc)=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f889,f419])).
% 0.13/0.39 fof(f889,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,multiply(identity,X0))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f17,f883])).
% 0.13/0.39 fof(f890,plain,(
% 0.13/0.39 inverse(identity)=multiply(identity,identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f270,f813])).
% 0.13/0.39 fof(f891,plain,(
% 0.13/0.39 identity=multiply(identity,identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f877,f890])).
% 0.13/0.39 fof(f902,plain,(
% 0.13/0.39 inverse(multiply(identity,sF0_fnc))=inverse(a2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f826])).
% 0.13/0.39 fof(f903,plain,(
% 0.13/0.39 multiply(identity,inverse(sF0_fnc))=inverse(a2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f27,f902])).
% 0.13/0.39 fof(f1035,plain,(
% 0.13/0.39 multiply(identity,inverse(identity))=double_divide(sF0_fnc,double_divide(identity,sF0_fnc))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f877,f373])).
% 0.13/0.39 fof(f1048,plain,(
% 0.13/0.39 multiply(identity,identity)=double_divide(sF0_fnc,double_divide(identity,sF0_fnc))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f877,f1035])).
% 0.13/0.39 fof(f1049,plain,(
% 0.13/0.39 identity=double_divide(sF0_fnc,double_divide(identity,sF0_fnc))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f891,f1048])).
% 0.13/0.39 fof(f1464,plain,(
% 0.13/0.39 multiply(identity,inverse(sF0_fnc))=double_divide(sF0_fnc,double_divide(identity,inverse(identity)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f1049,f276])).
% 0.13/0.39 fof(f1471,plain,(
% 0.13/0.39 inverse(a2)=double_divide(sF0_fnc,double_divide(identity,inverse(identity)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f903,f1464])).
% 0.13/0.39 fof(f1472,plain,(
% 0.13/0.39 inverse(a2)=double_divide(sF0_fnc,identity)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f9,f1471])).
% 0.13/0.39 fof(f1480,plain,(
% 0.13/0.39 inverse(a2)=inverse(sF0_fnc)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f8,f1472])).
% 0.13/0.39 fof(f1492,plain,(
% 0.13/0.39 multiply(double_divide(inverse(a2),sF0_fnc),sF0_fnc)=sF0_fnc),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f1480,f885])).
% 0.13/0.39 fof(f1507,plain,(
% 0.13/0.39 a2=sF0_fnc),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f885,f1492])).
% 0.13/0.39 fof(f1508,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1507,f12])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.050495 seconds
% 0.13/0.41 % CPU time: 0.221545 seconds
% 0.13/0.41 % Total memory used: 11.764 MB
% 0.13/0.41 % Net memory used: 11.330 MB
%------------------------------------------------------------------------------