%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP587-1 : 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 : 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 12:36:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP587-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Sep 20 20:17:18 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,axiom,(
% 0.13/0.44 (![A,B,C]: (double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f2,axiom,(
% 0.13/0.44 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f3,negated_conjecture,(
% 0.13/0.44 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f4,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1)))=X2)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.44 fof(f5,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.44 fof(f6,plain,(
% 0.13/0.44 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.44 fof(f12,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2)))=X1)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.44 fof(f13,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1))))=X2)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.13/0.44 fof(f15,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2)))=X3)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.13/0.44 fof(f16,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2)=inverse(X1))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.13/0.44 fof(f40,plain,(
% 0.13/0.44 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.13/0.44 fof(f51,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,X1),X2),inverse(X2))=double_divide(X1,X0))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f5,f40])).
% 0.13/0.44 fof(f58,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f40,f5])).
% 0.13/0.44 fof(f59,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(inverse(X2),double_divide(X1,X0)))=inverse(X2))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f5,f58])).
% 0.13/0.44 fof(f61,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(X0),multiply(multiply(X1,X2),X0))=inverse(double_divide(X2,X1)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f5,f58])).
% 0.13/0.44 fof(f66,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(X0),multiply(multiply(X1,X2),X0))=multiply(X1,X2))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f5,f61])).
% 0.13/0.44 fof(f71,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(X0),inverse(X1))=multiply(X2,multiply(inverse(X1),double_divide(X0,X2))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f16,f66])).
% 0.13/0.44 fof(f76,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X0,X1))=inverse(X2))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f66,f58])).
% 0.13/0.44 fof(f77,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(multiply(multiply(X0,X1),X2)))=X2)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f66,f40])).
% 0.13/0.44 fof(f89,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(X0,multiply(multiply(inverse(X0),inverse(X1)),multiply(inverse(X2),X1)))=X2)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f71,f15])).
% 0.13/0.44 fof(f157,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(inverse(X2)))=multiply(inverse(X2),double_divide(X1,X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f59,f77])).
% 0.13/0.44 fof(f193,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(inverse(X0),inverse(multiply(X1,X2)))=multiply(multiply(X1,X2),X0))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f76,f40])).
% 0.13/0.44 fof(f196,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (double_divide(multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X0,X1)),inverse(multiply(inverse(X2),X3)))=X3)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f76,f77])).
% 0.13/0.44 fof(f214,plain,(
% 0.13/0.44 ![X0,X1]: (double_divide(inverse(X0),inverse(multiply(inverse(X0),X1)))=X1)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f76,f196])).
% 0.13/0.44 fof(f217,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f193,f214])).
% 0.13/0.44 fof(f236,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X1,X0))=multiply(multiply(inverse(X2),X1),X2))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f217,f66])).
% 0.13/0.44 fof(f246,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f217,f236])).
% 0.13/0.44 fof(f247,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,double_divide(X1,X0)))=X2)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f5,f246])).
% 0.13/0.44 fof(f312,plain,(
% 0.13/0.44 ![X0,X1]: (X0=multiply(inverse(X1),double_divide(inverse(X1),inverse(X0))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f40,f157])).
% 0.13/0.44 fof(f328,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,X1)=double_divide(inverse(X1),inverse(X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f312,f217])).
% 0.13/0.44 fof(f348,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,double_divide(X1,X2))=double_divide(multiply(X2,X1),inverse(X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f5,f328])).
% 0.13/0.44 fof(f349,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(double_divide(X0,X1),X2)=double_divide(inverse(X2),multiply(X1,X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f5,f328])).
% 0.13/0.44 fof(f351,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f328,f5])).
% 0.13/0.44 fof(f352,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,double_divide(X0,multiply(X1,X2)))=double_divide(X2,X1))),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f348,f51])).
% 0.13/0.44 fof(f353,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,double_divide(X0,inverse(X1)))=X1)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f348,f40])).
% 0.13/0.44 fof(f380,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(X0,multiply(inverse(multiply(X0,X1)),multiply(inverse(X2),X1)))=X2)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f351,f89])).
% 0.13/0.44 fof(f381,plain,(
% 0.13/0.44 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(X2,multiply(inverse(X1),double_divide(X0,X2))))),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f351,f71])).
% 0.13/0.44 fof(f407,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,double_divide(multiply(X1,X2),inverse(X2)))=double_divide(X1,inverse(X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f246,f348])).
% 0.13/0.44 fof(f415,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X1,X2))=inverse(multiply(X0,double_divide(X2,X1))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f348,f5])).
% 0.13/0.44 fof(f422,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X1,X2)))=double_divide(X2,inverse(X0)))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f348,f407])).
% 0.13/0.44 fof(f430,plain,(
% 0.13/0.44 ![X0,X1]: (inverse(multiply(X0,double_divide(X0,X1)))=X1)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f415,f246])).
% 0.13/0.44 fof(f435,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(X0,inverse(multiply(multiply(X0,X1),double_divide(X1,inverse(X2)))))=X2)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f415,f380])).
% 0.13/0.44 fof(f475,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(X2))=inverse(multiply(double_divide(X1,X0),X2)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f349,f5])).
% 0.13/0.44 fof(f557,plain,(
% 0.13/0.44 ![X0,X1]: (inverse(multiply(inverse(X0),X0))=multiply(inverse(X1),X1))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f353,f381])).
% 0.13/0.44 fof(f599,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),X0),double_divide(X1,X2))=double_divide(multiply(X2,X1),multiply(inverse(X3),X3)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f557,f348])).
% 0.13/0.44 fof(f601,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X0),X1)=double_divide(inverse(X1),multiply(inverse(X2),X2)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f557,f328])).
% 0.13/0.44 fof(f602,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X1))=double_divide(multiply(inverse(X2),X2),inverse(X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f557,f328])).
% 0.13/0.44 fof(f603,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(multiply(inverse(X0),X0),X1),multiply(inverse(X2),X2))=X1)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f557,f217])).
% 0.13/0.44 fof(f604,plain,(
% 0.13/0.44 ![X0,X1,X2]: (inverse(multiply(X0,double_divide(X0,X1)))=multiply(X1,inverse(multiply(inverse(X2),X2))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f557,f381])).
% 0.13/0.44 fof(f605,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(inverse(multiply(inverse(X0),X0)),X1)=X1)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f557,f217])).
% 0.13/0.44 fof(f611,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(X0),X0)),multiply(X1,double_divide(X2,inverse(X2))))=X1)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f557,f247])).
% 0.13/0.44 fof(f617,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X0),X1)=multiply(double_divide(X2,inverse(X2)),X1))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f349,f601])).
% 0.13/0.44 fof(f618,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X1))=multiply(X0,double_divide(X2,inverse(X2))))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f348,f602])).
% 0.13/0.44 fof(f619,plain,(
% 0.13/0.44 ![X0,X1]: (X0=multiply(X0,inverse(multiply(inverse(X1),X1))))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f430,f604])).
% 0.13/0.44 fof(f626,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f628,f618])).
% 0.13/0.44 fof(f628,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=X0)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f605,f611])).
% 0.13/0.44 fof(f633,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f626,f603])).
% 0.13/0.44 fof(f634,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(X0,X1)=double_divide(multiply(X1,X0),multiply(inverse(X2),X2)))),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f633,f599])).
% 0.13/0.44 fof(f635,plain,(
% 0.13/0.44 ![X0,X1]: (X0=multiply(double_divide(X1,inverse(X1)),X0))),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f633,f617])).
% 0.13/0.44 fof(f691,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(X1,double_divide(X2,inverse(X2))))=inverse(multiply(X1,X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f381,f635])).
% 0.13/0.44 fof(f714,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,double_divide(X1,double_divide(X2,inverse(X2))))=double_divide(X1,inverse(X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f635,f348])).
% 0.13/0.44 fof(f721,plain,(
% 0.13/0.45 ![X0,X1]: (double_divide(X0,inverse(inverse(X1)))=inverse(multiply(X0,X1)))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f714,f691])).
% 0.13/0.45 fof(f741,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(double_divide(inverse(multiply(inverse(X0),X0)),X1),X2)=double_divide(inverse(X2),X1))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f619,f349])).
% 0.13/0.45 fof(f742,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(multiply(inverse(X1),X1)),X2))=double_divide(X2,inverse(X0)))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f619,f348])).
% 0.13/0.45 fof(f743,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(X0,double_divide(X0,X1))=double_divide(inverse(multiply(inverse(X2),X2)),X1))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f619,f352])).
% 0.13/0.45 fof(f755,plain,(
% 0.13/0.45 ![X0,X1,X2]: (double_divide(X0,inverse(multiply(inverse(X1),X1)))=multiply(X2,double_divide(X2,X0)))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f422,f633])).
% 0.13/0.45 fof(f881,plain,(
% 0.13/0.45 ![X0,X1]: (double_divide(inverse(X0),inverse(double_divide(X0,inverse(X1))))=X1)),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f633,f435])).
% 0.13/0.45 fof(f901,plain,(
% 0.13/0.45 ![X0,X1,X2,X3]: (double_divide(X0,inverse(multiply(multiply(X0,X1),X2)))=multiply(multiply(X1,X3),double_divide(X3,inverse(X2))))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f435,f435])).
% 0.13/0.45 fof(f909,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X0,X2),double_divide(X2,inverse(X1))))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f435,f353])).
% 0.13/0.45 fof(f917,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(double_divide(X0,inverse(X1)),X0)=X1)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f328,f881])).
% 0.13/0.45 fof(f958,plain,(
% 0.13/0.45 ![X0,X1,X2]: (double_divide(X0,inverse(multiply(multiply(X0,X1),X2)))=multiply(X1,X2))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f909,f901])).
% 0.13/0.45 fof(f1098,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f328,f917])).
% 0.13/0.45 fof(f1121,plain,(
% 0.13/0.45 ![X0,X1]: (inverse(multiply(double_divide(X0,X1),X0))=X1)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f475,f1098])).
% 0.13/0.45 fof(f1146,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f328,f721])).
% 0.13/0.45 fof(f1149,plain,(
% 0.13/0.45 ![X0,X1,X2]: (double_divide(X0,inverse(multiply(inverse(X1),X1)))=inverse(multiply(X0,multiply(inverse(X2),X2))))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f557,f721])).
% 0.13/0.45 fof(f1150,plain,(
% 0.13/0.45 ![X0,X1,X2]: (double_divide(X0,inverse(multiply(X1,X2)))=inverse(multiply(X0,double_divide(X2,X1))))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f5,f721])).
% 0.13/0.45 fof(f1158,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(X0,inverse(multiply(X0,X1)))=inverse(X1))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f721,f353])).
% 0.13/0.45 fof(f1165,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=inverse(inverse(multiply(X1,X0))))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f721,f5])).
% 0.13/0.45 fof(f1177,plain,(
% 0.13/0.45 ![X0,X1,X2]: (double_divide(X0,multiply(inverse(X1),X1))=multiply(X2,double_divide(X2,X0)))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1146,f755])).
% 0.13/0.45 fof(f1178,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(X0,double_divide(X0,X1))=double_divide(multiply(inverse(X2),X2),X1))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1146,f743])).
% 0.13/0.45 fof(f1179,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(X0,double_divide(multiply(inverse(X1),X1),X2))=double_divide(X2,inverse(X0)))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1146,f742])).
% 0.13/0.45 fof(f1180,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(double_divide(multiply(inverse(X0),X0),X1),X2)=double_divide(inverse(X2),X1))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1146,f741])).
% 0.13/0.45 fof(f1194,plain,(
% 0.13/0.45 ![X0,X1,X2]: (double_divide(X0,multiply(inverse(X1),X1))=inverse(multiply(X0,multiply(inverse(X2),X2))))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1146,f1149])).
% 0.13/0.45 fof(f1195,plain,(
% 0.13/0.45 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X1,X0)))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1202,f634])).
% 0.13/0.45 fof(f1202,plain,(
% 0.13/0.45 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),X1))=inverse(X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f626,f1194])).
% 0.13/0.45 fof(f1203,plain,(
% 0.13/0.45 ![X0,X1,X2]: (inverse(multiply(X0,double_divide(X1,multiply(X0,X2))))=multiply(X2,X1))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1150,f958])).
% 0.13/0.45 fof(f1242,plain,(
% 0.13/0.45 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1259,f353])).
% 0.13/0.45 fof(f1259,plain,(
% 0.13/0.45 ![X0,X1]: (inverse(X0)=multiply(X1,double_divide(X1,X0)))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1202,f1177])).
% 0.13/0.45 fof(f1265,plain,(
% 0.13/0.45 ![X0,X1]: (inverse(X0)=double_divide(multiply(inverse(X1),X1),X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1259,f1178])).
% 0.13/0.45 fof(f1272,plain,(
% 0.13/0.45 ![X0,X1]: (double_divide(multiply(X0,X1),inverse(X0))=inverse(X1))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1274,f1158])).
% 0.13/0.45 fof(f1274,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(X1,inverse(X0)))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1265,f1179])).
% 0.13/0.45 fof(f1278,plain,(
% 0.13/0.45 ![X0,X1]: (double_divide(inverse(X0),inverse(X1))=inverse(inverse(multiply(X0,X1))))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1299,f1165])).
% 0.13/0.45 fof(f1299,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1265,f1180])).
% 0.13/0.45 fof(f1328,plain,(
% 0.13/0.45 ![X0,X1]: (double_divide(X0,double_divide(X0,X1))=X1)),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f1195,f1121])).
% 0.13/0.45 fof(f1344,plain,(
% 0.13/0.45 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(X1,X2)),X1)=multiply(X2,X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1195,f1203])).
% 0.13/0.45 fof(f1405,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f348,f1272])).
% 0.13/0.45 fof(f1413,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(X0,X1)=inverse(inverse(multiply(X1,X0))))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f328,f1278])).
% 0.13/0.45 fof(f1414,plain,(
% 0.13/0.45 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1242,f1413])).
% 0.13/0.45 fof(f1648,plain,(
% 0.13/0.45 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f1414,f6])).
% 0.13/0.45 fof(f1673,plain,(
% 0.13/0.45 ![X0,X1]: (inverse(double_divide(X0,X1))=multiply(X0,X1))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f1328,f1259])).
% 0.13/0.45 fof(f1808,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=inverse(double_divide(X2,multiply(X0,X1))))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f1344,f1405])).
% 0.13/0.45 fof(f1826,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X2,multiply(X0,X1)))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f1673,f1808])).
% 0.13/0.45 fof(f1827,plain,(
% 0.13/0.45 $false),
% 0.13/0.45 inference(backward_subsumption_resolution,[status(thm)],[f1648,f1826])).
% 0.13/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.47 % Elapsed time: 0.094584 seconds
% 0.13/0.47 % CPU time: 0.624967 seconds
% 0.13/0.47 % Total memory used: 27.605 MB
% 0.13/0.47 % Net memory used: 26.888 MB
%------------------------------------------------------------------------------