%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP582-1 : 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 0.09s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP582-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n005.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 20:17:03 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.57 % Refutation found
% 0.09/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.57 fof(f1,axiom,(
% 0.09/0.57 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f2,axiom,(
% 0.09/0.57 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f3,axiom,(
% 0.09/0.57 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f4,axiom,(
% 0.09/0.57 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f5,negated_conjecture,(
% 0.09/0.57 multiply(identity,a2) != a2 ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f6,plain,(
% 0.09/0.57 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity))=X2)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.57 fof(f7,plain,(
% 0.09/0.57 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.57 fof(f8,plain,(
% 0.09/0.57 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.57 fof(f9,plain,(
% 0.09/0.57 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.57 fof(f10,plain,(
% 0.09/0.57 ~multiply(identity,a2)=a2),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.57 fof(f13,plain,(
% 0.09/0.57 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity))=X2)),
% 0.09/0.57 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.09/0.57 fof(f14,plain,(
% 0.09/0.57 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.09/0.57 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.57 fof(f15,plain,(
% 0.09/0.57 ![X0,X1,X2,X3]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),inverse(identity))=X3)),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.09/0.57 fof(f40,plain,(
% 0.09/0.57 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.09/0.57 fof(f41,plain,(
% 0.09/0.57 ![X0,X1]: (double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),inverse(identity))=X1)),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f8,f13])).
% 0.09/0.57 fof(f42,plain,(
% 0.09/0.57 ~inverse(inverse(a2))=a2),
% 0.09/0.57 inference(backward_demodulation,[status(thm)],[f40,f10])).
% 0.09/0.57 fof(f50,plain,(
% 0.09/0.57 ![X0,X1,X2]: (double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(inverse(X2),double_divide(X1,X0))))),identity)),inverse(identity))=X2)),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.09/0.57 fof(f54,plain,(
% 0.09/0.57 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),inverse(identity))=X1)),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.09/0.57 fof(f58,plain,(
% 0.09/0.57 ![X0,X1,X2]: (double_divide(double_divide(inverse(identity),inverse(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(inverse(X2),double_divide(X1,X0))))))),inverse(identity))=X2)),
% 0.09/0.57 inference(forward_demodulation,[status(thm)],[f8,f50])).
% 0.09/0.57 fof(f59,plain,(
% 0.09/0.57 ![X0,X1,X2]: (double_divide(double_divide(inverse(identity),multiply(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(inverse(X2),double_divide(X1,X0)))),identity)),inverse(identity))=X2)),
% 0.09/0.57 inference(forward_demodulation,[status(thm)],[f14,f58])).
% 0.09/0.57 fof(f62,plain,(
% 0.09/0.57 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),inverse(identity))=X1)),
% 0.09/0.57 inference(forward_demodulation,[status(thm)],[f8,f54])).
% 0.09/0.58 fof(f74,plain,(
% 0.09/0.58 ![X0]: (double_divide(double_divide(identity,double_divide(identity,double_divide(X0,inverse(inverse(identity))))),inverse(identity))=X0)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f9,f41])).
% 0.09/0.58 fof(f76,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),inverse(identity))=double_divide(identity,double_divide(double_divide(identity,X1),double_divide(X0,inverse(X1)))))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f41,f41])).
% 0.09/0.58 fof(f77,plain,(
% 0.09/0.58 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),inverse(identity))=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))),double_divide(X0,X3))))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f15,f41])).
% 0.09/0.58 fof(f79,plain,(
% 0.09/0.58 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),inverse(identity))=double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f13,f41])).
% 0.09/0.58 fof(f89,plain,(
% 0.09/0.58 ![X0]: (double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity)),inverse(identity))=X0)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f93,f41])).
% 0.09/0.58 fof(f93,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity))=double_divide(identity,double_divide(double_divide(identity,X1),double_divide(X0,inverse(X1)))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f76])).
% 0.09/0.58 fof(f101,plain,(
% 0.09/0.58 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity))=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))),double_divide(X0,X3))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f77])).
% 0.09/0.58 fof(f118,plain,(
% 0.09/0.58 ![X0]: (double_divide(double_divide(inverse(identity),multiply(double_divide(double_divide(identity,double_divide(inverse(identity),inverse(X0))),inverse(identity)),identity)),inverse(identity))=X0)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f121,f59])).
% 0.09/0.58 fof(f120,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity))=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(identity),X1)),inverse(identity))),double_divide(X0,X1))))),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f121,f101])).
% 0.09/0.58 fof(f121,plain,(
% 0.09/0.58 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity))=double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f79])).
% 0.09/0.58 fof(f171,plain,(
% 0.09/0.58 double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))=inverse(identity)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f9,f74])).
% 0.09/0.58 fof(f175,plain,(
% 0.09/0.58 double_divide(double_divide(identity,inverse(identity)),inverse(identity))=inverse(identity)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f171])).
% 0.09/0.58 fof(f176,plain,(
% 0.09/0.58 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f9,f175])).
% 0.09/0.58 fof(f177,plain,(
% 0.09/0.58 ![X0]: (double_divide(double_divide(identity,double_divide(identity,double_divide(X0,inverse(inverse(identity))))),identity)=X0)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f207,f74])).
% 0.09/0.58 fof(f180,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity))=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(identity),X1)),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f207,f120])).
% 0.09/0.58 fof(f182,plain,(
% 0.09/0.58 ![X0]: (double_divide(double_divide(inverse(identity),multiply(double_divide(double_divide(identity,double_divide(inverse(identity),inverse(X0))),inverse(identity)),identity)),identity)=X0)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f207,f118])).
% 0.09/0.58 fof(f188,plain,(
% 0.09/0.58 ![X0]: (double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity)),identity)=X0)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f207,f89])).
% 0.09/0.58 fof(f194,plain,(
% 0.09/0.58 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(inverse(identity),X0)),identity)=double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))))),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f207,f121])).
% 0.09/0.58 fof(f199,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),identity)=X1)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f207,f62])).
% 0.09/0.58 fof(f207,plain,(
% 0.09/0.58 identity=inverse(identity)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f9,f176])).
% 0.09/0.58 fof(f229,plain,(
% 0.09/0.58 ![X0]: (inverse(double_divide(identity,double_divide(identity,double_divide(X0,inverse(inverse(identity))))))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f177])).
% 0.09/0.58 fof(f230,plain,(
% 0.09/0.58 ![X0]: (multiply(double_divide(identity,double_divide(X0,inverse(inverse(identity)))),identity)=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f229])).
% 0.09/0.58 fof(f231,plain,(
% 0.09/0.58 ![X0]: (multiply(double_divide(identity,double_divide(X0,inverse(identity))),identity)=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f230])).
% 0.09/0.58 fof(f232,plain,(
% 0.09/0.58 ![X0]: (multiply(double_divide(identity,double_divide(X0,identity)),identity)=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f231])).
% 0.09/0.58 fof(f234,plain,(
% 0.09/0.58 ![X0]: (multiply(double_divide(identity,inverse(X0)),identity)=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f232])).
% 0.09/0.58 fof(f235,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),inverse(identity))=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(identity),X1)),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f180])).
% 0.09/0.58 fof(f236,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),identity)=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(identity),X1)),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f235])).
% 0.09/0.58 fof(f237,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(double_divide(identity,double_divide(identity,X0)))=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(identity),X1)),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f236])).
% 0.09/0.58 fof(f238,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(identity),X1)),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f237])).
% 0.09/0.58 fof(f239,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(identity),X1)),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f238])).
% 0.09/0.58 fof(f240,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=double_divide(identity,double_divide(double_divide(identity,inverse(double_divide(identity,double_divide(inverse(identity),X1)))),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f239])).
% 0.09/0.58 fof(f241,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=double_divide(identity,double_divide(double_divide(identity,multiply(double_divide(inverse(identity),X1),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f240])).
% 0.09/0.58 fof(f242,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=double_divide(identity,double_divide(double_divide(identity,multiply(double_divide(identity,X1),identity)),double_divide(X0,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f241])).
% 0.09/0.58 fof(f251,plain,(
% 0.09/0.58 ![X0]: (inverse(double_divide(inverse(identity),multiply(double_divide(double_divide(identity,double_divide(inverse(identity),inverse(X0))),inverse(identity)),identity)))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f182])).
% 0.09/0.58 fof(f252,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(double_divide(double_divide(identity,double_divide(inverse(identity),inverse(X0))),inverse(identity)),identity),inverse(identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f251])).
% 0.09/0.58 fof(f253,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)),identity),inverse(identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f252])).
% 0.09/0.58 fof(f254,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(double_divide(double_divide(identity,double_divide(identity,inverse(X0))),identity),identity),inverse(identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f253])).
% 0.09/0.58 fof(f255,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(inverse(double_divide(identity,double_divide(identity,inverse(X0)))),identity),inverse(identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f254])).
% 0.09/0.58 fof(f256,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(multiply(double_divide(identity,inverse(X0)),identity),identity),inverse(identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f255])).
% 0.09/0.58 fof(f257,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(X0,identity),inverse(identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f234,f256])).
% 0.09/0.58 fof(f259,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(X0,identity),identity)=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f257])).
% 0.09/0.58 fof(f313,plain,(
% 0.09/0.58 ![X0]: (inverse(double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity)))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f188])).
% 0.09/0.58 fof(f314,plain,(
% 0.09/0.58 ![X0]: (multiply(inverse(identity),double_divide(identity,double_divide(inverse(identity),X0)))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f313])).
% 0.09/0.58 fof(f315,plain,(
% 0.09/0.58 ![X0]: (multiply(identity,double_divide(identity,double_divide(inverse(identity),X0)))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f314])).
% 0.09/0.58 fof(f316,plain,(
% 0.09/0.58 ![X0]: (inverse(inverse(double_divide(identity,double_divide(inverse(identity),X0))))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f40,f315])).
% 0.09/0.58 fof(f317,plain,(
% 0.09/0.58 ![X0]: (inverse(multiply(double_divide(inverse(identity),X0),identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f316])).
% 0.09/0.58 fof(f321,plain,(
% 0.09/0.58 ![X0]: (inverse(multiply(double_divide(identity,X0),identity))=X0)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f317])).
% 0.09/0.58 fof(f356,plain,(
% 0.09/0.58 ![X0,X1,X2]: (inverse(double_divide(identity,double_divide(inverse(identity),X0)))=double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f194])).
% 0.09/0.58 fof(f357,plain,(
% 0.09/0.58 ![X0,X1,X2]: (multiply(double_divide(inverse(identity),X0),identity)=double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f356])).
% 0.09/0.58 fof(f358,plain,(
% 0.09/0.58 ![X0,X1,X2]: (multiply(double_divide(identity,X0),identity)=double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f357])).
% 0.09/0.58 fof(f375,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))))=X1)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f199])).
% 0.09/0.58 fof(f376,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X0))=X1)),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f375])).
% 0.09/0.58 fof(f408,plain,(
% 0.09/0.58 ![X0]: (identity=double_divide(multiply(double_divide(identity,X0),identity),X0))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f321,f9])).
% 0.09/0.58 fof(f426,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,multiply(X0,X1)),identity)=double_divide(X1,X0))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f14,f234])).
% 0.09/0.58 fof(f428,plain,(
% 0.09/0.58 ![X0]: (multiply(X0,identity)=double_divide(identity,inverse(X0)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f234,f259])).
% 0.09/0.58 fof(f435,plain,(
% 0.09/0.58 ![X0]: (multiply(identity,inverse(X0))=double_divide(identity,X0))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f9,f376])).
% 0.09/0.58 fof(f439,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(double_divide(identity,X0),X1),inverse(X0))=multiply(double_divide(identity,X1),identity))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f321,f376])).
% 0.09/0.58 fof(f442,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(double_divide(identity,multiply(double_divide(identity,X0),identity)),inverse(X1)),X0)=X1)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f321,f376])).
% 0.09/0.58 fof(f445,plain,(
% 0.09/0.58 ![X0]: (inverse(inverse(inverse(X0)))=double_divide(identity,X0))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f40,f435])).
% 0.09/0.58 fof(f504,plain,(
% 0.09/0.58 ![X0]: (inverse(inverse(double_divide(identity,X0)))=double_divide(identity,inverse(inverse(X0))))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f445,f445])).
% 0.09/0.58 fof(f506,plain,(
% 0.09/0.58 ![X0]: (inverse(inverse(X0))=double_divide(identity,multiply(double_divide(identity,X0),identity)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f321,f445])).
% 0.09/0.58 fof(f507,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(inverse(multiply(X0,X1)))=double_divide(identity,double_divide(X1,X0)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f14,f445])).
% 0.09/0.58 fof(f511,plain,(
% 0.09/0.58 ![X0]: (inverse(multiply(X0,identity))=double_divide(identity,inverse(inverse(X0))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f504])).
% 0.09/0.58 fof(f512,plain,(
% 0.09/0.58 ![X0]: (inverse(multiply(X0,identity))=multiply(inverse(X0),identity))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f428,f511])).
% 0.09/0.58 fof(f516,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(inverse(inverse(X0)),inverse(X1)),X0)=X1)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f506,f442])).
% 0.09/0.58 fof(f518,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=double_divide(identity,double_divide(inverse(inverse(X1)),double_divide(X0,X1))))),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f506,f242])).
% 0.09/0.58 fof(f525,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=inverse(inverse(multiply(double_divide(X0,X1),inverse(inverse(X1))))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f507,f518])).
% 0.09/0.58 fof(f557,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(multiply(double_divide(X0,X1),identity))=multiply(multiply(X1,X0),identity))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f14,f512])).
% 0.09/0.58 fof(f763,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(inverse(inverse(X0)),double_divide(identity,X1)),X0)=inverse(inverse(X1)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f445,f516])).
% 0.09/0.58 fof(f790,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(X0,X1),identity)=double_divide(identity,multiply(X1,X0)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f426,f259])).
% 0.09/0.58 fof(f816,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(identity,multiply(double_divide(identity,double_divide(X0,X1)),identity)),identity)=double_divide(X1,double_divide(double_divide(identity,X0),identity)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f408,f358])).
% 0.09/0.58 fof(f832,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(multiply(double_divide(identity,double_divide(identity,double_divide(X0,X1))),identity),identity)=double_divide(X1,double_divide(double_divide(identity,X0),identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f790,f816])).
% 0.09/0.58 fof(f833,plain,(
% 0.09/0.58 ![X0,X1]: (double_divide(identity,double_divide(identity,double_divide(X0,X1)))=double_divide(X1,double_divide(double_divide(identity,X0),identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f259,f832])).
% 0.09/0.58 fof(f834,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(inverse(multiply(double_divide(X0,X1),identity)))=double_divide(X1,double_divide(double_divide(identity,X0),identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f507,f833])).
% 0.09/0.58 fof(f835,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(multiply(multiply(X0,X1),identity))=double_divide(X0,double_divide(double_divide(identity,X1),identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f557,f834])).
% 0.09/0.58 fof(f836,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(multiply(multiply(X0,X1),identity))=double_divide(X0,inverse(double_divide(identity,X1))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f835])).
% 0.09/0.58 fof(f839,plain,(
% 0.09/0.58 ![X0,X1]: (inverse(multiply(multiply(X0,X1),identity))=double_divide(X0,multiply(X1,identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f836])).
% 0.09/0.58 fof(f1023,plain,(
% 0.09/0.58 ![X0]: (multiply(double_divide(identity,double_divide(identity,inverse(X0))),identity)=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f439,f525])).
% 0.09/0.58 fof(f1050,plain,(
% 0.09/0.58 ![X0]: (multiply(inverse(inverse(multiply(inverse(X0),identity))),identity)=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f507,f1023])).
% 0.09/0.58 fof(f1051,plain,(
% 0.09/0.58 ![X0]: (inverse(multiply(inverse(multiply(inverse(X0),identity)),identity))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f512,f1050])).
% 0.09/0.58 fof(f1052,plain,(
% 0.09/0.58 ![X0]: (inverse(inverse(multiply(multiply(inverse(X0),identity),identity)))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f512,f1051])).
% 0.09/0.58 fof(f1053,plain,(
% 0.09/0.58 ![X0]: (inverse(double_divide(inverse(X0),multiply(identity,identity)))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f839,f1052])).
% 0.09/0.58 fof(f1054,plain,(
% 0.09/0.58 ![X0]: (multiply(multiply(identity,identity),inverse(X0))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f14,f1053])).
% 0.09/0.58 fof(f1055,plain,(
% 0.09/0.58 ![X0]: (multiply(inverse(inverse(identity)),inverse(X0))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f40,f1054])).
% 0.09/0.58 fof(f1056,plain,(
% 0.09/0.58 ![X0]: (multiply(inverse(identity),inverse(X0))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f1055])).
% 0.09/0.58 fof(f1057,plain,(
% 0.09/0.58 ![X0]: (multiply(identity,inverse(X0))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f1056])).
% 0.09/0.58 fof(f1058,plain,(
% 0.09/0.58 ![X0]: (inverse(inverse(inverse(X0)))=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f40,f1057])).
% 0.09/0.58 fof(f1059,plain,(
% 0.09/0.58 ![X0]: (double_divide(identity,X0)=inverse(inverse(multiply(double_divide(identity,X0),identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f445,f1058])).
% 0.09/0.58 fof(f1060,plain,(
% 0.09/0.58 ![X0]: (double_divide(identity,X0)=inverse(multiply(multiply(X0,identity),identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f557,f1059])).
% 0.09/0.58 fof(f1061,plain,(
% 0.09/0.58 ![X0]: (double_divide(identity,X0)=double_divide(X0,multiply(identity,identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f839,f1060])).
% 0.09/0.58 fof(f1062,plain,(
% 0.09/0.58 ![X0]: (double_divide(identity,X0)=double_divide(X0,inverse(inverse(identity))))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f40,f1061])).
% 0.09/0.58 fof(f1063,plain,(
% 0.09/0.58 ![X0]: (double_divide(identity,X0)=double_divide(X0,inverse(identity)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f1062])).
% 0.09/0.58 fof(f1064,plain,(
% 0.09/0.58 ![X0]: (double_divide(identity,X0)=double_divide(X0,identity))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f207,f1063])).
% 0.09/0.58 fof(f1089,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(double_divide(inverse(inverse(X0)),inverse(X1)),X0)=inverse(inverse(X1)))),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f1104,f763])).
% 0.09/0.58 fof(f1104,plain,(
% 0.09/0.58 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f1064])).
% 0.09/0.58 fof(f1336,plain,(
% 0.09/0.58 ~a2=a2),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f1345,f42])).
% 0.09/0.58 fof(f1345,plain,(
% 0.09/0.58 ![X0]: (X0=inverse(inverse(X0)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f516,f1089])).
% 0.09/0.58 fof(f1495,plain,(
% 0.09/0.58 $false),
% 0.09/0.58 inference(trivial_equality_resolution,[status(thm)],[f1336])).
% 0.09/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.61 % Elapsed time: 0.081160 seconds
% 0.14/0.61 % CPU time: 0.336565 seconds
% 0.14/0.61 % Total memory used: 84.737 MB
% 0.14/0.61 % Net memory used: 84.156 MB
%------------------------------------------------------------------------------