%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP101-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:38 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP101-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n026.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sun Sep 20 20:00:13 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.14/5.69 % Refutation found
% 0.14/5.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.69 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.69 fof(f1,axiom,(
% 0.14/5.69 (![X,Y,Z]: (double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)) = Y ))),
% 0.14/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.69 fof(f2,axiom,(
% 0.14/5.69 (![X,Y]: (multiply(X,Y) = double_divide(double_divide(Y,X),identity) ))),
% 0.14/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.69 fof(f3,axiom,(
% 0.14/5.69 (![X]: (inverse(X) = double_divide(X,identity) ))),
% 0.14/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.69 fof(f4,axiom,(
% 0.14/5.69 (![X]: (identity = double_divide(X,inverse(X)) ))),
% 0.14/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.69 fof(f5,negated_conjecture,(
% 0.14/5.69 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 0.14/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.69 fof(f6,plain,(
% 0.14/5.69 ![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)),
% 0.14/5.69 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.69 fof(f7,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.14/5.69 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.69 fof(f8,plain,(
% 0.14/5.69 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.14/5.69 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.69 fof(f9,plain,(
% 0.14/5.69 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.14/5.69 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.69 fof(f10,plain,(
% 0.14/5.69 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/5.69 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.69 fof(f11,definition,(
% 0.14/5.69 sQ0_spl <=> (multiply(inverse(a1),a1)=identity)),
% 0.14/5.69 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.69 fof(f13,plain,(
% 0.14/5.69 ~multiply(inverse(a1),a1)=identity|sQ0_spl),
% 0.14/5.69 inference(component_clause,[status(thm)],[f11])).
% 0.14/5.69 fof(f14,definition,(
% 0.14/5.69 sQ1_spl <=> (multiply(identity,a2)=a2)),
% 0.14/5.69 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.69 fof(f16,plain,(
% 0.14/5.69 ~multiply(identity,a2)=a2|sQ1_spl),
% 0.14/5.69 inference(component_clause,[status(thm)],[f14])).
% 0.14/5.69 fof(f17,definition,(
% 0.14/5.69 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 0.14/5.69 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.69 fof(f19,plain,(
% 0.14/5.69 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.14/5.69 inference(component_clause,[status(thm)],[f17])).
% 0.14/5.69 fof(f20,definition,(
% 0.14/5.69 sQ3_spl <=> (multiply(a4,b4)=multiply(b4,a4))),
% 0.14/5.69 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/5.69 fof(f22,plain,(
% 0.14/5.69 ~multiply(a4,b4)=multiply(b4,a4)|sQ3_spl),
% 0.14/5.69 inference(component_clause,[status(thm)],[f20])).
% 0.14/5.69 fof(f23,plain,(
% 0.14/5.69 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/5.69 inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20])).
% 0.14/5.69 fof(f24,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity))=X1)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.14/5.69 fof(f25,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.14/5.69 fof(f26,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f24])).
% 0.14/5.69 fof(f27,plain,(
% 0.14/5.69 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f9,f25])).
% 0.14/5.69 fof(f29,plain,(
% 0.14/5.69 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f25,f9])).
% 0.14/5.69 fof(f30,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(multiply(X0,X1),double_divide(X1,X0))=inverse(identity))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f25,f27])).
% 0.14/5.69 fof(f56,plain,(
% 0.14/5.69 ![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)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f26,f26])).
% 0.14/5.69 fof(f57,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(double_divide(multiply(X0,X1),double_divide(double_divide(X2,identity),inverse(double_divide(X1,X0)))),inverse(identity))=X2)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f29,f26])).
% 0.14/5.69 fof(f58,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity))=X1)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f9,f26])).
% 0.14/5.69 fof(f59,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),inverse(identity))=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f8,f26])).
% 0.14/5.69 fof(f60,plain,(
% 0.14/5.69 ![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)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f25,f26])).
% 0.14/5.69 fof(f64,plain,(
% 0.14/5.69 ![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)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f56])).
% 0.14/5.69 fof(f65,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(double_divide(multiply(X0,X1),double_divide(inverse(X2),inverse(double_divide(X1,X0)))),inverse(identity))=X2)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f57])).
% 0.14/5.69 fof(f66,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(X0,X1))),inverse(identity))=X2)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f65])).
% 0.14/5.69 fof(f67,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f58])).
% 0.14/5.69 fof(f71,plain,(
% 0.14/5.69 ![X0]: (double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity))=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f9,f67])).
% 0.14/5.69 fof(f79,plain,(
% 0.14/5.69 ![X0]: (double_divide(inverse(inverse(inverse(X0))),inverse(identity))=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f71])).
% 0.14/5.69 fof(f84,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(inverse(inverse(multiply(X0,X1))),inverse(identity))=double_divide(X1,X0))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f25,f79])).
% 0.14/5.69 fof(f85,plain,(
% 0.14/5.69 ![X0]: (double_divide(double_divide(inverse(identity),X0),inverse(identity))=inverse(inverse(X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f79,f67])).
% 0.14/5.69 fof(f86,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),inverse(inverse(inverse(inverse(X1)))))),inverse(identity))=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f79,f26])).
% 0.14/5.69 fof(f91,plain,(
% 0.14/5.69 ![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)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f85,f64])).
% 0.14/5.69 fof(f92,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(inverse(double_divide(double_divide(X0,X1),inverse(inverse(inverse(inverse(X1)))))))=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f85,f86])).
% 0.14/5.69 fof(f93,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(multiply(inverse(inverse(inverse(inverse(X0)))),double_divide(X1,X0)))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f92])).
% 0.14/5.69 fof(f97,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (inverse(multiply(multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2),double_divide(X3,X0)))=X3)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f91])).
% 0.14/5.69 fof(f98,plain,(
% 0.14/5.69 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=inverse(inverse(inverse(X0))))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f79,f59])).
% 0.14/5.69 fof(f101,plain,(
% 0.14/5.69 ![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(X2,X1)),inverse(X2))))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f26,f59])).
% 0.14/5.69 fof(f116,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(inverse(inverse(X0)))=double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f98,f101])).
% 0.14/5.69 fof(f127,plain,(
% 0.14/5.69 double_divide(identity,inverse(identity))=inverse(inverse(inverse(inverse(identity))))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f9,f85])).
% 0.14/5.69 fof(f132,plain,(
% 0.14/5.69 identity=inverse(inverse(inverse(inverse(identity))))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f9,f127])).
% 0.14/5.69 fof(f135,plain,(
% 0.14/5.69 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f132,f79])).
% 0.14/5.69 fof(f141,plain,(
% 0.14/5.69 ![X0]: (double_divide(double_divide(inverse(identity),X0),identity)=inverse(inverse(X0)))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f155,f85])).
% 0.14/5.69 fof(f142,plain,(
% 0.14/5.69 ![X0]: (double_divide(inverse(inverse(inverse(X0))),identity)=X0)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f155,f79])).
% 0.14/5.69 fof(f143,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(multiply(X0,X1),double_divide(X1,X0))=identity)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f155,f30])).
% 0.14/5.69 fof(f144,plain,(
% 0.14/5.69 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f155,f27])).
% 0.14/5.69 fof(f151,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(inverse(inverse(multiply(X0,X1))),identity)=double_divide(X1,X0))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f155,f84])).
% 0.14/5.69 fof(f153,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))),identity)=X1)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f155,f60])).
% 0.14/5.69 fof(f154,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(X0,X1))),identity)=X2)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f155,f66])).
% 0.14/5.69 fof(f155,plain,(
% 0.14/5.69 identity=inverse(identity)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f9,f135])).
% 0.14/5.69 fof(f171,plain,(
% 0.14/5.69 ![X0]: (inverse(double_divide(inverse(identity),X0))=inverse(inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f141])).
% 0.14/5.69 fof(f172,plain,(
% 0.14/5.69 ![X0]: (multiply(X0,inverse(identity))=inverse(inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f171])).
% 0.14/5.69 fof(f174,plain,(
% 0.14/5.69 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f155,f172])).
% 0.14/5.69 fof(f175,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(multiply(X0,double_divide(X1,X0)))=X1)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f176,f93])).
% 0.14/5.69 fof(f176,plain,(
% 0.14/5.69 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f142])).
% 0.14/5.69 fof(f198,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(inverse(inverse(multiply(X0,X1))))=double_divide(X1,X0))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f151])).
% 0.14/5.69 fof(f201,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f153])).
% 0.14/5.69 fof(f202,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (multiply(double_divide(double_divide(X0,double_divide(double_divide(X1,X2),X3)),multiply(X2,X1)),X3)=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f201])).
% 0.14/5.69 fof(f203,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(X0,X1))))=X2)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f154])).
% 0.14/5.69 fof(f204,plain,(
% 0.14/5.69 ![X0,X1,X2]: (multiply(double_divide(inverse(X0),multiply(X1,X2)),multiply(X1,X2))=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f203])).
% 0.14/5.69 fof(f221,plain,(
% 0.14/5.69 ![X0]: (identity=double_divide(double_divide(identity,X0),inverse(inverse(X0))))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f174,f29])).
% 0.14/5.69 fof(f275,plain,(
% 0.14/5.69 ![X0]: (inverse(multiply(inverse(inverse(X0)),identity))=double_divide(identity,X0))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f221,f175])).
% 0.14/5.69 fof(f284,plain,(
% 0.14/5.69 ![X0]: (inverse(inverse(inverse(inverse(inverse(X0)))))=double_divide(identity,X0))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f174,f275])).
% 0.14/5.69 fof(f292,plain,(
% 0.14/5.69 ![X0]: (inverse(X0)=double_divide(identity,X0))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f176,f284])).
% 0.14/5.69 fof(f315,plain,(
% 0.14/5.69 ![X0]: (inverse(multiply(X0,inverse(X0)))=identity)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f292,f175])).
% 0.14/5.69 fof(f332,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(inverse(inverse(X0)))=multiply(X1,double_divide(X0,X1)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f175,f176])).
% 0.14/5.69 fof(f335,plain,(
% 0.14/5.69 ![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)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f176,f97])).
% 0.14/5.69 fof(f354,plain,(
% 0.14/5.69 ![X0]: (inverse(inverse(inverse(identity)))=multiply(X0,inverse(X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f315,f176])).
% 0.14/5.69 fof(f362,plain,(
% 0.14/5.69 ![X0]: (inverse(inverse(identity))=multiply(X0,inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f155,f354])).
% 0.14/5.69 fof(f363,plain,(
% 0.14/5.69 ![X0]: (inverse(identity)=multiply(X0,inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f155,f362])).
% 0.14/5.69 fof(f365,plain,(
% 0.14/5.69 ![X0]: (identity=multiply(X0,inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f155,f363])).
% 0.14/5.69 fof(f375,plain,(
% 0.14/5.69 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,double_divide(inverse(X1),X2)),multiply(X1,identity)),X2)=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f292,f202])).
% 0.14/5.69 fof(f376,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (multiply(double_divide(double_divide(X0,double_divide(identity,X1)),multiply(multiply(X2,X3),double_divide(X3,X2))),X1)=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f29,f202])).
% 0.14/5.69 fof(f397,plain,(
% 0.14/5.69 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,double_divide(inverse(X1),X2)),inverse(inverse(X1))),X2)=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f174,f375])).
% 0.14/5.69 fof(f398,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (multiply(double_divide(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),double_divide(X3,X2))),X1)=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f292,f376])).
% 0.14/5.69 fof(f399,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1)=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f143,f398])).
% 0.14/5.69 fof(f400,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(inverse(double_divide(X0,inverse(X1))),X1)=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f399])).
% 0.14/5.69 fof(f402,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f25,f400])).
% 0.14/5.69 fof(f462,plain,(
% 0.14/5.69 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f144,f402])).
% 0.14/5.69 fof(f463,plain,(
% 0.14/5.69 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f365,f402])).
% 0.14/5.69 fof(f476,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f487,f198])).
% 0.14/5.69 fof(f481,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (inverse(multiply(multiply(double_divide(double_divide(X0,double_divide(inverse(X1),X2)),X1),X2),double_divide(X3,X0)))=X3)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f487,f335])).
% 0.14/5.69 fof(f482,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(X0)=multiply(X1,double_divide(X0,X1)))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f487,f332])).
% 0.14/5.69 fof(f484,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f487,f116])).
% 0.14/5.69 fof(f486,plain,(
% 0.14/5.69 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,double_divide(inverse(X1),X2)),X1),X2)=X0)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f487,f397])).
% 0.14/5.69 fof(f487,plain,(
% 0.14/5.69 ![X0]: (X0=inverse(inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f462,f463])).
% 0.14/5.69 fof(f498,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(inverse(X2),X3)),X2),X3))=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f476,f481])).
% 0.14/5.69 fof(f499,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f486,f498])).
% 0.14/5.69 fof(f569,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (multiply(double_divide(X0,multiply(X1,X2)),X3)=double_divide(X0,double_divide(double_divide(X2,X1),X3)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f499,f202])).
% 0.14/5.69 fof(f584,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(X0)=multiply(double_divide(X1,multiply(double_divide(X2,X1),X0)),inverse(X2)))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f569,f484])).
% 0.14/5.69 fof(f698,plain,(
% 0.14/5.69 ![X0,X1,X2,X3]: (multiply(double_divide(inverse(X0),X1),multiply(double_divide(inverse(X1),multiply(X2,X3)),multiply(X2,X3)))=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f204,f204])).
% 0.14/5.69 fof(f722,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),X1)=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f204,f698])).
% 0.14/5.69 fof(f762,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f487,f722])).
% 0.14/5.69 fof(f788,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f499,f762])).
% 0.14/5.69 fof(f792,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(inverse(X0))=double_divide(X1,double_divide(X0,X1)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f762,f476])).
% 0.14/5.69 fof(f801,plain,(
% 0.14/5.69 ![X0,X1]: (X0=double_divide(X1,double_divide(X0,X1)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f487,f792])).
% 0.14/5.69 fof(f815,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f801,f762])).
% 0.14/5.69 fof(f817,plain,(
% 0.14/5.69 ![X0,X1]: (inverse(X0)=multiply(double_divide(X1,X0),X1))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f801,f482])).
% 0.14/5.69 fof(f1087,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f25,f788])).
% 0.14/5.69 fof(f1100,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X0,X1)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f788,f487])).
% 0.14/5.69 fof(f1105,plain,(
% 0.14/5.69 $false|sQ3_spl),
% 0.14/5.69 inference(backward_subsumption_resolution,[status(thm)],[f22,f1087])).
% 0.14/5.69 fof(f1111,plain,(
% 0.14/5.69 sQ3_spl),
% 0.14/5.69 inference(contradiction_clause,[status(thm)],[f1105])).
% 0.14/5.69 fof(f1114,plain,(
% 0.14/5.69 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f402,f1087])).
% 0.14/5.69 fof(f1129,plain,(
% 0.14/5.69 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f1087,f402])).
% 0.14/5.69 fof(f1248,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(inverse(X0),X1)=multiply(X0,inverse(X1)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f815,f1114])).
% 0.14/5.69 fof(f1249,plain,(
% 0.14/5.69 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(X1,inverse(X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f482,f1114])).
% 0.14/5.69 fof(f1291,plain,(
% 0.14/5.69 ![X0,X1,X2]: (multiply(multiply(X0,double_divide(X1,X2)),multiply(X2,X1))=X0)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f476,f1129])).
% 0.14/5.69 fof(f1437,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(multiply(inverse(double_divide(X0,X1)),X2))=multiply(double_divide(X1,X2),inverse(X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f1114,f584])).
% 0.14/5.69 fof(f1446,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(X0)=multiply(double_divide(multiply(X1,X2),multiply(identity,X0)),inverse(double_divide(X2,X1))))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f29,f584])).
% 0.14/5.69 fof(f1483,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,X1)),X2)=multiply(double_divide(X1,X2),inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f1100,f1437])).
% 0.14/5.69 fof(f1484,plain,(
% 0.14/5.69 ![X0,X1,X2]: (multiply(double_divide(X0,X1),inverse(X2))=multiply(double_divide(X1,X2),inverse(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f1248,f1483])).
% 0.14/5.69 fof(f1497,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(X0)=multiply(double_divide(multiply(X1,X2),X0),inverse(double_divide(X2,X1))))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f462,f1446])).
% 0.14/5.69 fof(f1498,plain,(
% 0.14/5.69 ![X0,X1,X2]: (inverse(X0)=multiply(double_divide(multiply(X1,X2),X0),multiply(X2,X1)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f788,f1497])).
% 0.14/5.69 fof(f2101,plain,(
% 0.14/5.69 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=multiply(double_divide(X0,X1),inverse(X2)))),
% 0.14/5.70 inference(paramodulation,[status(thm)],[f788,f1248])).
% 0.14/5.70 fof(f2142,plain,(
% 0.14/5.70 ![X0,X1,X2]: (multiply(double_divide(X0,X1),inverse(X2))=double_divide(multiply(X1,X2),X0))),
% 0.14/5.70 inference(backward_demodulation,[status(thm)],[f2101,f1484])).
% 0.14/5.70 fof(f2180,plain,(
% 0.14/5.70 ![X0,X1,X2]: (double_divide(X0,multiply(X1,X2))=multiply(double_divide(X1,X2),inverse(X0)))),
% 0.14/5.70 inference(paramodulation,[status(thm)],[f788,f1249])).
% 0.14/5.70 fof(f2213,plain,(
% 0.14/5.70 ![X0,X1,X2]: (double_divide(X0,multiply(X1,X2))=double_divide(multiply(X2,X0),X1))),
% 0.14/5.70 inference(backward_demodulation,[status(thm)],[f2180,f2142])).
% 0.14/5.70 fof(f2263,plain,(
% 0.14/5.70 ![X0,X1,X2]: (inverse(X0)=multiply(double_divide(X1,multiply(X0,X2)),multiply(X1,X2)))),
% 0.14/5.70 inference(backward_demodulation,[status(thm)],[f2213,f1498])).
% 0.14/5.70 fof(f2939,plain,(
% 0.14/5.70 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X0,inverse(double_divide(X2,X1))))),
% 0.14/5.70 inference(paramodulation,[status(thm)],[f1129,f1291])).
% 0.14/5.70 fof(f2997,plain,(
% 0.14/5.70 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X0,multiply(X2,X1)))),
% 0.14/5.70 inference(forward_demodulation,[status(thm)],[f788,f2939])).
% 0.14/5.70 fof(f3272,plain,(
% 0.14/5.70 ![X0,X1,X2,X3]: (inverse(double_divide(X0,multiply(X1,X2)))=multiply(double_divide(X3,inverse(X1)),multiply(X3,multiply(X0,X2))))),
% 0.14/5.70 inference(paramodulation,[status(thm)],[f2263,f2263])).
% 0.14/5.70 fof(f3273,plain,(
% 0.14/5.70 ![X0,X1,X2]: (inverse(double_divide(X0,X1))=multiply(double_divide(X2,inverse(X1)),multiply(X2,X0)))),
% 0.14/5.70 inference(paramodulation,[status(thm)],[f817,f2263])).
% 0.14/5.70 fof(f3347,plain,(
% 0.14/5.70 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(double_divide(X3,inverse(X1)),multiply(X3,multiply(X0,X2))))),
% 0.14/5.70 inference(forward_demodulation,[status(thm)],[f788,f3272])).
% 0.14/5.70 fof(f3348,plain,(
% 0.14/5.70 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,inverse(X3)),multiply(X3,multiply(X0,X2))))),
% 0.14/5.70 inference(forward_demodulation,[status(thm)],[f1249,f3347])).
% 0.14/5.70 fof(f3349,plain,(
% 0.14/5.70 ![X0,X1,X2]: (multiply(X0,X1)=multiply(double_divide(X2,inverse(X1)),multiply(X2,X0)))),
% 0.14/5.70 inference(forward_demodulation,[status(thm)],[f788,f3273])).
% 0.14/5.70 fof(f3350,plain,(
% 0.14/5.70 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X2),X1))),
% 0.14/5.70 inference(backward_demodulation,[status(thm)],[f3352,f3348])).
% 0.14/5.70 fof(f3352,plain,(
% 0.14/5.70 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X1,inverse(X2)),multiply(X2,X0)))),
% 0.14/5.70 inference(forward_demodulation,[status(thm)],[f1249,f3349])).
% 0.14/5.70 fof(f3493,plain,(
% 0.14/5.70 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.14/5.70 inference(backward_demodulation,[status(thm)],[f3350,f19])).
% 0.14/5.70 fof(f3577,plain,(
% 0.14/5.70 $false|sQ2_spl),
% 0.14/5.70 inference(forward_subsumption_resolution,[status(thm)],[f3493,f2997])).
% 0.14/5.70 fof(f3578,plain,(
% 0.14/5.70 sQ2_spl),
% 0.14/5.70 inference(contradiction_clause,[status(thm)],[f3577])).
% 0.14/5.70 fof(f3721,plain,(
% 0.14/5.70 ~identity=identity|sQ0_spl),
% 0.14/5.70 inference(forward_demodulation,[status(thm)],[f144,f13])).
% 0.14/5.70 fof(f3722,plain,(
% 0.14/5.70 $false|sQ0_spl),
% 0.14/5.70 inference(trivial_equality_resolution,[status(thm)],[f3721])).
% 0.14/5.70 fof(f3723,plain,(
% 0.14/5.70 sQ0_spl),
% 0.14/5.70 inference(contradiction_clause,[status(thm)],[f3722])).
% 0.14/5.70 fof(f3725,plain,(
% 0.14/5.70 ~a2=a2|sQ1_spl),
% 0.14/5.70 inference(forward_demodulation,[status(thm)],[f462,f16])).
% 0.14/5.70 fof(f3726,plain,(
% 0.14/5.70 $false|sQ1_spl),
% 0.14/5.70 inference(trivial_equality_resolution,[status(thm)],[f3725])).
% 0.14/5.70 fof(f3727,plain,(
% 0.14/5.70 sQ1_spl),
% 0.14/5.70 inference(contradiction_clause,[status(thm)],[f3726])).
% 0.14/5.70 fof(f3728,plain,(
% 0.14/5.70 $false),
% 0.14/5.70 inference(sat_refutation,[status(thm)],[f23,f1111,f3578,f3723,f3727])).
% 0.14/5.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.72 % Elapsed time: 0.329483 seconds
% 0.14/5.72 % CPU time: 2.389083 seconds
% 0.14/5.72 % Total memory used: 102.533 MB
% 0.14/5.72 % Net memory used: 99.871 MB
%------------------------------------------------------------------------------