%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP491-1 : 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 : n002.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 12:36:42 PM UTC 2026
% Result : Unsatisfiable 0.13s 10.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP491-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.57 % Computer : n002.cluster.edu
% 0.08/10.57 % Model : x86_64 x86_64
% 0.08/10.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.57 % Memory : 8046.5625MB
% 0.08/10.57 % OS : Linux 6.8.0-71-generic
% 0.08/10.57 % CPULimit : 300
% 0.08/10.57 % WCLimit : 300
% 0.08/10.57 % DateTime : Sun Sep 20 20:17:42 UTC 2026
% 0.08/10.57 % CPUTime :
% 0.08/10.58 % Drodi V4.1.1
% 0.13/10.60 % Refutation found
% 0.13/10.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/10.60 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.60 fof(f1,axiom,(
% 0.13/10.60 (![A,B,C]: (double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C ))),
% 0.13/10.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.60 fof(f2,axiom,(
% 0.13/10.60 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.13/10.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.60 fof(f3,axiom,(
% 0.13/10.60 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.13/10.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.60 fof(f4,axiom,(
% 0.13/10.60 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.13/10.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.60 fof(f5,negated_conjecture,(
% 0.13/10.60 multiply(identity,a2) != a2 ),
% 0.13/10.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.60 fof(f6,plain,(
% 0.13/10.60 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1))))=X2)),
% 0.13/10.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/10.60 fof(f7,plain,(
% 0.13/10.60 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.13/10.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/10.60 fof(f8,plain,(
% 0.13/10.60 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.13/10.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/10.60 fof(f9,plain,(
% 0.13/10.60 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.13/10.60 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/10.60 fof(f10,plain,(
% 0.13/10.60 ~multiply(identity,a2)=a2),
% 0.13/10.60 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/10.60 fof(f13,plain,(
% 0.13/10.60 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1))))=X2)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.13/10.60 fof(f14,plain,(
% 0.13/10.60 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/10.60 fof(f15,plain,(
% 0.13/10.60 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.13/10.60 fof(f16,plain,(
% 0.13/10.60 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.13/10.60 fof(f21,plain,(
% 0.13/10.60 ![X0]: (multiply(multiply(identity,X0),inverse(X0))=inverse(identity))),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.13/10.60 fof(f23,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(identity,double_divide(identity,double_divide(multiply(X0,inverse(identity)),double_divide(X1,X0))))=X1)),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.13/10.60 fof(f24,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0))))=X1)),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f8,f13])).
% 0.13/10.60 fof(f27,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(inverse(X1),X0),identity)))=X1)),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.13/10.60 fof(f30,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,inverse(multiply(inverse(X1),X0))))=X1)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f8,f27])).
% 0.13/10.60 fof(f105,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,double_divide(identity,double_divide(inverse(identity),double_divide(X0,multiply(identity,identity)))))=X0)),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f21,f23])).
% 0.13/10.60 fof(f164,plain,(
% 0.13/10.60 ![X0]: (double_divide(double_divide(identity,X0),double_divide(identity,inverse(inverse(identity))))=X0)),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f15,f30])).
% 0.13/10.60 fof(f174,plain,(
% 0.13/10.60 ![X0]: (double_divide(double_divide(identity,X0),double_divide(identity,multiply(identity,identity)))=X0)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f16,f164])).
% 0.13/10.60 fof(f181,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(X0,double_divide(identity,multiply(identity,identity)))=double_divide(identity,double_divide(multiply(X1,inverse(identity)),double_divide(X0,X1))))),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f23,f174])).
% 0.13/10.60 fof(f182,plain,(
% 0.13/10.60 double_divide(identity,double_divide(identity,multiply(identity,identity)))=inverse(identity)),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f9,f174])).
% 0.13/10.60 fof(f183,plain,(
% 0.13/10.60 double_divide(inverse(identity),double_divide(identity,multiply(identity,identity)))=identity),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f8,f174])).
% 0.13/10.60 fof(f190,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,double_divide(X0,double_divide(identity,multiply(identity,identity))))=X0)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f181,f23])).
% 0.13/10.60 fof(f197,plain,(
% 0.13/10.60 double_divide(inverse(identity),double_divide(identity,multiply(identity,identity)))=double_divide(identity,multiply(identity,identity))),
% 0.13/10.60 inference(paramodulation,[status(thm)],[f182,f174])).
% 0.13/10.60 fof(f206,plain,(
% 0.13/10.60 ![X0]: (double_divide(double_divide(identity,X0),identity)=X0)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f216,f174])).
% 0.13/10.60 fof(f210,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,double_divide(X0,identity))=X0)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f216,f190])).
% 0.13/10.60 fof(f215,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(X0,identity)=double_divide(identity,double_divide(multiply(X1,inverse(identity)),double_divide(X0,X1))))),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f216,f181])).
% 0.13/10.60 fof(f216,plain,(
% 0.13/10.60 identity=double_divide(identity,multiply(identity,identity))),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f183,f197])).
% 0.13/10.60 fof(f224,plain,(
% 0.13/10.60 ![X0]: (inverse(double_divide(identity,X0))=X0)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f8,f206])).
% 0.13/10.60 fof(f226,plain,(
% 0.13/10.60 identity=double_divide(identity,identity)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f229,f216])).
% 0.13/10.60 fof(f227,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,double_divide(identity,double_divide(inverse(identity),double_divide(X0,identity))))=X0)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f229,f105])).
% 0.13/10.60 fof(f228,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(inverse(identity),double_divide(identity,double_divide(X0,double_divide(X1,X0))))=X1)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f229,f24])).
% 0.13/10.60 fof(f229,plain,(
% 0.13/10.60 ![X0]: (multiply(X0,identity)=X0)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f14,f224])).
% 0.13/10.60 fof(f242,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f8,f210])).
% 0.13/10.60 fof(f248,plain,(
% 0.13/10.60 ![X0,X1]: (inverse(X0)=double_divide(identity,double_divide(multiply(X1,inverse(identity)),double_divide(X0,X1))))),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f8,f215])).
% 0.13/10.60 fof(f255,plain,(
% 0.13/10.60 ![X0,X1]: (inverse(X0)=double_divide(identity,double_divide(multiply(X1,identity),double_divide(X0,X1))))),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f263,f248])).
% 0.13/10.60 fof(f263,plain,(
% 0.13/10.60 identity=inverse(identity)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f8,f226])).
% 0.13/10.60 fof(f264,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity))))=X0)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f263,f227])).
% 0.13/10.60 fof(f265,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0))))=X0)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f8,f264])).
% 0.13/10.60 fof(f266,plain,(
% 0.13/10.60 ![X0]: (double_divide(identity,double_divide(identity,X0))=X0)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f242,f265])).
% 0.13/10.60 fof(f267,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0))))=X1)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f263,f228])).
% 0.13/10.60 fof(f268,plain,(
% 0.13/10.60 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f266,f267])).
% 0.13/10.60 fof(f276,plain,(
% 0.13/10.60 ![X0,X1]: (inverse(X0)=double_divide(identity,double_divide(X1,double_divide(X0,X1))))),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f229,f255])).
% 0.13/10.60 fof(f279,plain,(
% 0.13/10.60 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f291,f242])).
% 0.13/10.60 fof(f291,plain,(
% 0.13/10.60 ![X0]: (inverse(X0)=double_divide(identity,X0))),
% 0.13/10.60 inference(forward_demodulation,[status(thm)],[f268,f276])).
% 0.13/10.60 fof(f310,plain,(
% 0.13/10.60 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/10.60 inference(backward_demodulation,[status(thm)],[f279,f16])).
% 0.13/10.60 fof(f336,plain,(
% 0.13/10.61 ~a2=a2),
% 0.13/10.61 inference(backward_demodulation,[status(thm)],[f310,f10])).
% 0.13/10.61 fof(f354,plain,(
% 0.13/10.61 $false),
% 0.13/10.61 inference(trivial_equality_resolution,[status(thm)],[f336])).
% 0.13/10.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.65 % Elapsed time: 0.067585 seconds
% 0.13/10.65 % CPU time: 0.323156 seconds
% 0.13/10.65 % Total memory used: 129.833 MB
% 0.13/10.65 % Net memory used: 129.322 MB
%------------------------------------------------------------------------------