%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP572-1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:50 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP572-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:16:42 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,axiom,(
% 0.10/0.39 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,axiom,(
% 0.10/0.39 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,negated_conjecture,(
% 0.10/0.39 multiply(a,b) != multiply(b,a) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f6,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity))=X1)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f7,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f8,plain,(
% 0.10/0.39 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.39 fof(f9,plain,(
% 0.10/0.39 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f10,plain,(
% 0.10/0.39 ~multiply(a,b)=multiply(b,a)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity))=X1)),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.39 fof(f16,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity))=X1)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.10/0.39 fof(f18,plain,(
% 0.10/0.39 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f15,f9])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(multiply(X0,X1),double_divide(X1,X0))=inverse(identity))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f18,f15])).
% 0.10/0.39 fof(f46,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),inverse(inverse(identity)))),inverse(identity))=X3)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.10/0.39 fof(f48,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.10/0.39 fof(f49,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity))=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.10/0.39 fof(f55,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f48])).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=X0)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f55])).
% 0.10/0.39 fof(f65,plain,(
% 0.10/0.39 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f58])).
% 0.10/0.39 fof(f72,plain,(
% 0.10/0.39 ![X0]: (multiply(inverse(identity),inverse(X0))=inverse(X0))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f65,f15])).
% 0.10/0.39 fof(f75,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(inverse(identity),multiply(X0,X1))=inverse(double_divide(X1,X0)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f15,f72])).
% 0.10/0.39 fof(f78,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(inverse(identity),multiply(X0,X1))=multiply(X0,X1))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f15,f75])).
% 0.10/0.39 fof(f89,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,inverse(inverse(identity)))),inverse(identity))=inverse(X2))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f65,f46])).
% 0.10/0.39 fof(f91,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,inverse(inverse(identity)))),inverse(identity))=double_divide(X3,double_divide(inverse(X2),inverse(inverse(X3)))))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f55,f46])).
% 0.10/0.39 fof(f92,plain,(
% 0.10/0.39 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,inverse(inverse(identity)))),inverse(identity))=double_divide(X3,double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X4))))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f16,f46])).
% 0.10/0.39 fof(f93,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(multiply(X1,X2),double_divide(X0,X3)),inverse(X3))),double_divide(identity,inverse(inverse(identity)))),inverse(identity))=double_divide(X2,X1))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f18,f46])).
% 0.10/0.39 fof(f94,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(X1),double_divide(X0,X2)),inverse(X2))),double_divide(identity,inverse(inverse(identity)))),inverse(identity))=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f46])).
% 0.10/0.39 fof(f110,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(inverse(X0),inverse(inverse(X1)))))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f89,f91])).
% 0.10/0.39 fof(f112,plain,(
% 0.10/0.39 ![X0]: (double_divide(double_divide(inverse(inverse(identity)),double_divide(X0,inverse(inverse(identity)))),inverse(identity))=inverse(X0))),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f115,f89])).
% 0.10/0.39 fof(f115,plain,(
% 0.10/0.39 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f89,f92])).
% 0.10/0.39 fof(f116,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(inverse(multiply(X0,X1)),double_divide(identity,inverse(inverse(identity)))),inverse(identity))=double_divide(X1,X0))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f115,f93])).
% 0.10/0.39 fof(f117,plain,(
% 0.10/0.39 ![X0]: (double_divide(double_divide(inverse(inverse(X0)),double_divide(identity,inverse(inverse(identity)))),inverse(identity))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f115,f94])).
% 0.10/0.39 fof(f128,plain,(
% 0.10/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=inverse(X0))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f65,f49])).
% 0.10/0.39 fof(f129,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f49,f49])).
% 0.10/0.39 fof(f131,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),inverse(identity))),inverse(identity))=X2)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f15,f49])).
% 0.10/0.39 fof(f137,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f128,f129])).
% 0.10/0.39 fof(f343,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,inverse(inverse(identity)))),inverse(identity))=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f24,f116])).
% 0.10/0.39 fof(f344,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(inverse(multiply(X0,X1)),double_divide(identity,inverse(inverse(identity)))),inverse(identity))=double_divide(multiply(X0,X1),inverse(identity)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f78,f116])).
% 0.10/0.39 fof(f345,plain,(
% 0.10/0.39 ![X0]: (double_divide(double_divide(inverse(inverse(X0)),double_divide(identity,inverse(inverse(identity)))),inverse(identity))=double_divide(inverse(X0),inverse(identity)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f72,f116])).
% 0.10/0.39 fof(f351,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(identity)=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f112,f343])).
% 0.10/0.39 fof(f360,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),inverse(identity))),identity)=X2)),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f368,f131])).
% 0.10/0.39 fof(f361,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),identity)))),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f368,f137])).
% 0.10/0.39 fof(f368,plain,(
% 0.10/0.39 inverse(identity)=identity),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f18,f351])).
% 0.10/0.39 fof(f369,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(X0,X1)=double_divide(multiply(X1,X0),inverse(identity)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f116,f344])).
% 0.10/0.39 fof(f370,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(X0,X1)=double_divide(multiply(X1,X0),identity))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f368,f369])).
% 0.10/0.39 fof(f372,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X1,X0)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f370])).
% 0.10/0.39 fof(f373,plain,(
% 0.10/0.39 ![X0]: (X0=double_divide(inverse(X0),inverse(identity)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f117,f345])).
% 0.10/0.39 fof(f374,plain,(
% 0.10/0.39 ![X0]: (X0=double_divide(inverse(X0),identity))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f368,f373])).
% 0.10/0.39 fof(f377,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(inverse(X0),X1)))),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f378,f110])).
% 0.10/0.39 fof(f378,plain,(
% 0.10/0.39 ![X0]: (X0=inverse(inverse(X0)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f374])).
% 0.10/0.39 fof(f422,plain,(
% 0.10/0.39 ![X0,X1,X2]: (inverse(double_divide(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),inverse(identity))))=X2)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f360])).
% 0.10/0.39 fof(f423,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,multiply(X1,X2)),inverse(identity)),double_divide(X2,X1))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f15,f422])).
% 0.10/0.39 fof(f424,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(double_divide(double_divide(X0,multiply(X1,X2)),identity),double_divide(X2,X1))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f368,f423])).
% 0.10/0.39 fof(f425,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,multiply(X1,X2))),double_divide(X2,X1))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f424])).
% 0.10/0.39 fof(f426,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0))=X2)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f15,f425])).
% 0.10/0.39 fof(f427,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(X1,inverse(double_divide(X0,inverse(X1)))))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f361])).
% 0.10/0.39 fof(f428,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(X1,multiply(inverse(X1),X0)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f15,f427])).
% 0.10/0.39 fof(f480,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(X0,double_divide(X0,multiply(X1,X2)))=double_divide(X2,X1))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f426,f426])).
% 0.10/0.39 fof(f620,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(inverse(X0))=double_divide(X1,double_divide(X0,X1)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f378,f377])).
% 0.10/0.39 fof(f623,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(inverse(X1),double_divide(inverse(X1),inverse(X0))))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f377,f115])).
% 0.10/0.39 fof(f634,plain,(
% 0.10/0.39 ![X0,X1]: (X0=double_divide(X1,double_divide(X0,X1)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f378,f620])).
% 0.10/0.39 fof(f905,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(X1,inverse(X0)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f428,f480])).
% 0.10/0.39 fof(f932,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(inverse(X1),multiply(X0,inverse(inverse(X1)))))),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f905,f623])).
% 0.10/0.39 fof(f979,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=double_divide(inverse(X1),multiply(X0,X1)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f378,f932])).
% 0.10/0.39 fof(f1047,plain,(
% 0.10/0.39 ![X0,X1]: (X0=double_divide(double_divide(X1,X0),X1))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f634,f634])).
% 0.10/0.39 fof(f1084,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),X0))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f428,f1047])).
% 0.10/0.39 fof(f1101,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X0,X1)),X1))),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f1084,f979])).
% 0.10/0.39 fof(f1123,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=multiply(double_divide(X1,X0),X1))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f372,f1101])).
% 0.10/0.39 fof(f1389,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(double_divide(X0,X1))=multiply(X0,X1))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f634,f1123])).
% 0.10/0.39 fof(f2082,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f15,f1389])).
% 0.10/0.39 fof(f2101,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f10,f2082])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 6.16/1.64 % Elapsed time: 1.066258 seconds
% 6.16/1.64 % CPU time: 0.123608 seconds
% 6.16/1.64 % Total memory used: 3.826 MB
% 6.16/1.64 % Net memory used: 3.714 MB
%------------------------------------------------------------------------------