%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP107-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:35:39 PM UTC 2026
% Result : Unsatisfiable 9.58s 11.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP107-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.37 % Computer : n005.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Sun Sep 20 19:57:44 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.38 % Drodi V4.1.1
% 9.58/11.66 % Refutation found
% 9.58/11.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.58/11.66 % SZS output start CNFRefutation for theBenchmark
% 9.58/11.66 fof(f1,axiom,(
% 9.58/11.66 (![X,Y,Z]: (double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(inverse(Z),Y))))) = Z ))),
% 9.58/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.58/11.66 fof(f2,axiom,(
% 9.58/11.66 (![X,Y]: (multiply(X,Y) = inverse(double_divide(Y,X)) ))),
% 9.58/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.58/11.66 fof(f3,negated_conjecture,(
% 9.58/11.66 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 9.58/11.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.58/11.66 fof(f4,plain,(
% 9.58/11.66 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1)))))=X2)),
% 9.58/11.66 inference(cnf_transformation,[status(thm)],[f1])).
% 9.58/11.66 fof(f5,plain,(
% 9.58/11.66 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 9.58/11.66 inference(cnf_transformation,[status(thm)],[f2])).
% 9.58/11.66 fof(f6,plain,(
% 9.58/11.66 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 9.58/11.66 inference(cnf_transformation,[status(thm)],[f3])).
% 9.58/11.66 fof(f7,plain,(
% 9.58/11.66 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,multiply(X1,inverse(X2)))))=X2)),
% 9.58/11.66 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 9.58/11.66 fof(f8,plain,(
% 9.58/11.66 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0))=X2)),
% 9.58/11.66 inference(forward_demodulation,[status(thm)],[f5,f7])).
% 9.58/11.66 fof(f9,plain,(
% 9.58/11.66 ![X0,X1,X2,X3]: (double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1)))=X3)),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f8,f8])).
% 9.58/11.66 fof(f10,plain,(
% 9.58/11.66 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,multiply(X2,X3)),X0))=double_divide(X3,X2))),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f5,f8])).
% 9.58/11.66 fof(f11,plain,(
% 9.58/11.66 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0))=inverse(X1))),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f8,f5])).
% 9.58/11.66 fof(f14,plain,(
% 9.58/11.66 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1)=inverse(X3))),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f8,f11])).
% 9.58/11.66 fof(f15,plain,(
% 9.58/11.66 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2))=X0)),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f11,f8])).
% 9.58/11.66 fof(f20,plain,(
% 9.58/11.66 ![X0,X1,X2,X3,X4]: (double_divide(X0,multiply(multiply(multiply(multiply(multiply(multiply(X1,inverse(X2)),X3),inverse(X0)),double_divide(X3,X1)),inverse(X4)),X2))=X4)),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f8,f9])).
% 9.58/11.66 fof(f28,plain,(
% 9.58/11.66 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,inverse(X3))),inverse(X3))=double_divide(X1,X0))),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f11,f10])).
% 9.58/11.66 fof(f175,plain,(
% 9.58/11.66 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))),X0)=inverse(X3))),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f14,f14])).
% 9.58/11.66 fof(f188,plain,(
% 9.58/11.66 ![X0,X1,X2,X3]: (double_divide(X0,multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))))=X3)),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f14,f9])).
% 9.58/11.66 fof(f208,plain,(
% 9.58/11.66 ![X0,X1]: (multiply(multiply(inverse(X0),inverse(X1)),X0)=inverse(X1))),
% 9.58/11.66 inference(forward_demodulation,[status(thm)],[f8,f175])).
% 9.58/11.66 fof(f210,plain,(
% 9.58/11.66 ![X0,X1]: (double_divide(X0,multiply(inverse(X0),inverse(X1)))=X1)),
% 9.58/11.66 inference(forward_demodulation,[status(thm)],[f8,f188])).
% 9.58/11.66 fof(f246,plain,(
% 9.58/11.66 ![X0,X1]: (double_divide(double_divide(X0,inverse(X0)),inverse(X1))=X1)),
% 9.58/11.66 inference(paramodulation,[status(thm)],[f208,f8])).
% 9.58/11.66 fof(f278,plain,(
% 9.58/11.66 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,X1),multiply(X1,X0)),inverse(X2))=X2)),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f5,f246])).
% 9.58/11.68 fof(f279,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(double_divide(X0,inverse(X0)),multiply(X1,X2))=double_divide(X2,X1))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f5,f246])).
% 9.58/11.68 fof(f431,plain,(
% 9.58/11.68 ![X0,X1]: (X0=double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f210,f279])).
% 9.58/11.68 fof(f447,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(double_divide(inverse(X0),inverse(multiply(X1,X2))),inverse(X0))=double_divide(X2,X1))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f279,f28])).
% 9.58/11.68 fof(f452,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(double_divide(inverse(X0),inverse(inverse(X1))),inverse(X0))=X1)),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f279,f15])).
% 9.58/11.68 fof(f467,plain,(
% 9.58/11.68 ![X0,X1]: (X0=double_divide(inverse(X0),multiply(inverse(X1),X1)))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f5,f431])).
% 9.58/11.68 fof(f498,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(multiply(inverse(X1),X1),inverse(X2))),inverse(X2))=X0)),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f467,f15])).
% 9.58/11.68 fof(f506,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),inverse(X0)))=X2)),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f467,f8])).
% 9.58/11.68 fof(f507,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(multiply(inverse(X0),X0),inverse(X1))=inverse(X1))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f467,f5])).
% 9.58/11.68 fof(f509,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),inverse(X0)))=X1)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f507,f506])).
% 9.58/11.68 fof(f514,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(double_divide(X0,inverse(X1)),inverse(X1))=X0)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f507,f498])).
% 9.58/11.68 fof(f522,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,inverse(X0))=double_divide(X1,inverse(X1)))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f246,f514])).
% 9.58/11.68 fof(f651,plain,(
% 9.58/11.68 ![X0]: (inverse(inverse(X0))=X0)),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f514,f452])).
% 9.58/11.68 fof(f658,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,inverse(X1))=double_divide(inverse(X1),inverse(inverse(X0))))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f452,f514])).
% 9.58/11.68 fof(f667,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(double_divide(inverse(X0),X1),inverse(X0))=X1)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f651,f452])).
% 9.58/11.68 fof(f719,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,inverse(X1))=double_divide(inverse(X1),X0))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f651,f658])).
% 9.58/11.68 fof(f729,plain,(
% 9.58/11.68 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f667,f447])).
% 9.58/11.68 fof(f1056,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(double_divide(inverse(X0),X1)))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f719,f5])).
% 9.58/11.68 fof(f1077,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(X1,inverse(X0)))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f5,f1056])).
% 9.58/11.68 fof(f1087,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(inverse(inverse(X1)),inverse(X0)))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f210,f667])).
% 9.58/11.68 fof(f1111,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (double_divide(X0,multiply(double_divide(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X3)),X4),inverse(X0)),double_divide(X4,X2)))),X3))=X1)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1307,f20])).
% 9.58/11.68 fof(f1117,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,double_divide(X1,inverse(inverse(X0))))=X1)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1307,f210])).
% 9.58/11.68 fof(f1121,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(double_divide(X2,inverse(X1)),X0))=X2)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1307,f8])).
% 9.58/11.68 fof(f1168,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,double_divide(X0,inverse(inverse(X1))))=X1)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1307,f509])).
% 9.58/11.68 fof(f1287,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1307,f1077])).
% 9.58/11.68 fof(f1307,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(X1,inverse(X0)))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f651,f1087])).
% 9.58/11.68 fof(f1348,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (double_divide(X0,multiply(double_divide(X1,double_divide(double_divide(X2,X3),multiply(multiply(multiply(X3,inverse(X4)),X2),inverse(X0)))),X4))=X1)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f729,f1111])).
% 9.58/11.68 fof(f1349,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (double_divide(X0,multiply(double_divide(X1,double_divide(double_divide(X2,X3),double_divide(X0,inverse(multiply(multiply(X3,inverse(X4)),X2))))),X4))=X1)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f1307,f1348])).
% 9.58/11.68 fof(f1350,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (double_divide(X0,multiply(double_divide(X1,double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X2,multiply(X3,inverse(X4)))))),X4))=X1)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f729,f1349])).
% 9.58/11.68 fof(f1351,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (double_divide(X0,multiply(double_divide(X1,double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X2,double_divide(X4,inverse(X3)))))),X4))=X1)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f1307,f1350])).
% 9.58/11.68 fof(f1361,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f651,f1117])).
% 9.58/11.68 fof(f1481,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,double_divide(X0,X1))=X1)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f651,f1168])).
% 9.58/11.68 fof(f1761,plain,(
% 9.58/11.68 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(double_divide(b2,inverse(b2)),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1287,f6])).
% 9.58/11.68 fof(f1840,plain,(
% 9.58/11.68 ~double_divide(a1,inverse(a1))=multiply(inverse(b1),b1)|~multiply(double_divide(b2,inverse(b2)),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f1287,f1761])).
% 9.58/11.68 fof(f1841,plain,(
% 9.58/11.68 ~double_divide(a1,inverse(a1))=double_divide(b1,inverse(b1))|~multiply(double_divide(b2,inverse(b2)),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f1287,f1840])).
% 9.58/11.68 fof(f1842,plain,(
% 9.58/11.68 ~multiply(double_divide(b2,inverse(b2)),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 9.58/11.68 inference(forward_subsumption_resolution,[status(thm)],[f1841,f522])).
% 9.58/11.68 fof(f1922,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(X2,X0))=double_divide(inverse(X1),X2))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f667,f1121])).
% 9.58/11.68 fof(f1950,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(X0,multiply(X1,X2)))=double_divide(X2,X1))),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1922,f10])).
% 9.58/11.68 fof(f1951,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(double_divide(inverse(X0),X0),inverse(X1))=X1)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f1922,f278])).
% 9.58/11.68 fof(f1981,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f1361,f1361])).
% 9.58/11.68 fof(f2011,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f1361,f1481])).
% 9.58/11.68 fof(f2014,plain,(
% 9.58/11.68 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f1481,f1361])).
% 9.58/11.68 fof(f2029,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f1981,f5])).
% 9.58/11.68 fof(f2043,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f2011,f5])).
% 9.58/11.68 fof(f2066,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f2014,f5])).
% 9.58/11.68 fof(f2082,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f5,f2043])).
% 9.58/11.68 fof(f2090,plain,(
% 9.58/11.68 ~multiply(double_divide(b2,inverse(b2)),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 9.58/11.68 inference(backward_subsumption_resolution,[status(thm)],[f1842,f2082])).
% 9.58/11.68 fof(f2155,plain,(
% 9.58/11.68 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(X2))=multiply(X2,multiply(X1,X0)))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f1950,f1981])).
% 9.58/11.68 fof(f2183,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 9.58/11.68 inference(backward_demodulation,[status(thm)],[f2155,f1951])).
% 9.58/11.68 fof(f2224,plain,(
% 9.58/11.68 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=X0)),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f1307,f2183])).
% 9.58/11.68 fof(f2232,plain,(
% 9.58/11.68 ~multiply(a2,double_divide(b2,inverse(b2)))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f2082,f2090])).
% 9.58/11.68 fof(f2235,plain,(
% 9.58/11.68 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X0,X1))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f2082,f729])).
% 9.58/11.68 fof(f2240,plain,(
% 9.58/11.68 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f2224,f2232])).
% 9.58/11.68 fof(f2241,plain,(
% 9.58/11.68 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 9.58/11.68 inference(trivial_equality_resolution,[status(thm)],[f2240])).
% 9.58/11.68 fof(f2899,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (double_divide(X0,multiply(X1,X2))=double_divide(X1,double_divide(double_divide(X3,X4),double_divide(X0,double_divide(X3,double_divide(X2,inverse(X4)))))))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f2014,f1351])).
% 9.58/11.68 fof(f2961,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (multiply(X0,X1)=inverse(multiply(double_divide(X1,double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X2,double_divide(X4,inverse(X3)))))),X4)))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f1351,f2029])).
% 9.58/11.68 fof(f3140,plain,(
% 9.58/11.68 ![X0,X1,X2,X3,X4]: (multiply(X0,X1)=double_divide(double_divide(X1,double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X2,double_divide(X4,inverse(X3)))))),X4))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f2235,f2961])).
% 9.58/11.68 fof(f3149,plain,(
% 9.58/11.68 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(X0,multiply(X1,X2)),X2))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f2899,f3140])).
% 9.58/11.68 fof(f3403,plain,(
% 9.58/11.68 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f2082,f2241])).
% 9.58/11.68 fof(f4277,plain,(
% 9.58/11.68 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=inverse(double_divide(X1,multiply(X2,X0))))),
% 9.58/11.68 inference(paramodulation,[status(thm)],[f3149,f2066])).
% 9.58/11.68 fof(f4338,plain,(
% 9.58/11.68 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X2,X0)))),
% 9.58/11.68 inference(forward_demodulation,[status(thm)],[f2043,f4277])).
% 9.58/11.68 fof(f4339,plain,(
% 9.58/11.68 $false),
% 9.58/11.68 inference(backward_subsumption_resolution,[status(thm)],[f3403,f4338])).
% 9.58/11.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.46/11.71 % Elapsed time: 1.317185 seconds
% 0.46/11.71 % CPU time: 10.275946 seconds
% 0.46/11.71 % Total memory used: 202.727 MB
% 0.46/11.71 % Net memory used: 199.244 MB
%------------------------------------------------------------------------------