%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:35:36 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:57:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f1,axiom,(
% 0.13/0.43 (![X,Y,Z,U]: (double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = Z ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f2,axiom,(
% 0.13/0.43 (![X,Y]: (multiply(X,Y) = double_divide(double_divide(Y,X),identity) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f3,axiom,(
% 0.13/0.43 (![X]: (inverse(X) = double_divide(X,identity) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f4,axiom,(
% 0.13/0.43 (![X]: (identity = double_divide(X,inverse(X)) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f5,negated_conjecture,(
% 0.13/0.43 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f6,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1)=X2)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.43 fof(f7,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.43 fof(f8,plain,(
% 0.13/0.43 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.43 fof(f9,plain,(
% 0.13/0.43 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.43 fof(f10,plain,(
% 0.13/0.43 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.43 fof(f11,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.43 fof(f12,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.13/0.43 fof(f13,plain,(
% 0.13/0.43 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f8,f11])).
% 0.13/0.43 fof(f15,plain,(
% 0.13/0.43 ~inverse(identity)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f12,f10])).
% 0.13/0.43 fof(f17,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1)=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f6])).
% 0.13/0.43 fof(f18,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,inverse(X3))),double_divide(X0,identity))),X1)=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f17])).
% 0.13/0.43 fof(f19,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,identity),double_divide(X0,identity))),X1)=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f9,f18])).
% 0.13/0.43 fof(f20,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),double_divide(X0,identity))),X1)=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f19])).
% 0.13/0.43 fof(f21,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1)=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f20])).
% 0.13/0.43 fof(f22,plain,(
% 0.13/0.43 ![X0,X1]: (inverse(double_divide(double_divide(X0,inverse(identity)),double_divide(inverse(X1),inverse(X0))))=X1)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f8,f21])).
% 0.13/0.43 fof(f25,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,multiply(X1,X2)),double_divide(inverse(X3),inverse(X0))),double_divide(X2,X1))=X3)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f11,f21])).
% 0.13/0.43 fof(f26,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1)=X0)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f9,f21])).
% 0.13/0.43 fof(f31,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(double_divide(inverse(X0),inverse(X1)),double_divide(X1,inverse(identity)))=X0)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f11,f22])).
% 0.13/0.43 fof(f33,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1)=X0)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f26])).
% 0.13/0.43 fof(f34,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X0)=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f11,f33])).
% 0.13/0.43 fof(f52,plain,(
% 0.13/0.43 ![X0]: (double_divide(inverse(identity),inverse(X0))=X0)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f12,f34])).
% 0.13/0.43 fof(f62,plain,(
% 0.13/0.43 identity=inverse(identity)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f9,f52])).
% 0.13/0.43 fof(f71,plain,(
% 0.13/0.43 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f62,f52])).
% 0.13/0.43 fof(f72,plain,(
% 0.13/0.43 ~identity=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f62,f15])).
% 0.13/0.43 fof(f81,plain,(
% 0.13/0.43 ~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f72])).
% 0.13/0.43 fof(f97,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(X0),identity)=inverse(X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f71,f11])).
% 0.13/0.43 fof(f138,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(double_divide(inverse(X0),inverse(X1)),double_divide(X1,identity))=X0)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f62,f31])).
% 0.13/0.43 fof(f139,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(double_divide(inverse(X0),inverse(X1)),inverse(X1))=X0)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f138])).
% 0.13/0.43 fof(f150,plain,(
% 0.13/0.43 ![X0]: (multiply(double_divide(inverse(X0),inverse(identity)),identity)=X0)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f62,f139])).
% 0.13/0.43 fof(f163,plain,(
% 0.13/0.43 ![X0]: (multiply(double_divide(inverse(X0),identity),identity)=X0)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f62,f150])).
% 0.13/0.43 fof(f164,plain,(
% 0.13/0.43 ![X0]: (multiply(inverse(inverse(X0)),identity)=X0)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f163])).
% 0.13/0.43 fof(f165,plain,(
% 0.13/0.43 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f97,f164])).
% 0.13/0.43 fof(f173,plain,(
% 0.13/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f165,f13])).
% 0.13/0.43 fof(f177,plain,(
% 0.13/0.43 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f11,f165])).
% 0.13/0.43 fof(f183,plain,(
% 0.13/0.43 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f165,f71])).
% 0.13/0.43 fof(f192,plain,(
% 0.13/0.43 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f173,f81])).
% 0.13/0.43 fof(f197,plain,(
% 0.13/0.43 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f192])).
% 0.13/0.43 fof(f211,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(double_divide(inverse(inverse(X0)),double_divide(inverse(X1),inverse(identity))),X0)=X1)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f183,f21])).
% 0.13/0.43 fof(f216,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),inverse(identity))),X0)=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f165,f211])).
% 0.13/0.43 fof(f217,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),identity)),X0)=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f62,f216])).
% 0.13/0.43 fof(f218,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(double_divide(X0,inverse(inverse(X1))),X0)=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f8,f217])).
% 0.13/0.43 fof(f219,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f165,f218])).
% 0.13/0.43 fof(f247,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f219,f219])).
% 0.13/0.43 fof(f273,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f247,f11])).
% 0.13/0.44 fof(f508,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,X1)=inverse(multiply(inverse(X1),inverse(X0))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f34,f273])).
% 0.13/0.44 fof(f523,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,X1)=double_divide(inverse(X0),inverse(X1)))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f177,f508])).
% 0.13/0.44 fof(f1343,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(X3,X0)),double_divide(X2,X1))=X3)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f523,f25])).
% 0.13/0.44 fof(f1345,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),multiply(X2,X0)),X1)=X2)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f523,f21])).
% 0.13/0.44 fof(f1581,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,inverse(inverse(X3))),multiply(X0,X2)))),X3)=X1)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f1345,f1345])).
% 0.13/0.44 fof(f1622,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,X3),multiply(X0,X2)))),X3)=X1)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f165,f1581])).
% 0.13/0.44 fof(f2029,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (double_divide(X0,double_divide(double_divide(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)),X0))=X2)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f1622,f1343])).
% 0.13/0.44 fof(f2089,plain,(
% 0.13/0.44 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(X1,X2)),multiply(X2,X0))=X1)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f247,f2029])).
% 0.13/0.44 fof(f2902,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=inverse(double_divide(X2,multiply(X0,X1))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f2089,f273])).
% 0.13/0.44 fof(f2939,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f11,f2902])).
% 0.13/0.44 fof(f3126,plain,(
% 0.13/0.44 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f2939,f197])).
% 0.13/0.44 fof(f3172,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(trivial_equality_resolution,[status(thm)],[f3126])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.097217 seconds
% 0.13/0.46 % CPU time: 0.526559 seconds
% 0.13/0.46 % Total memory used: 77.083 MB
% 0.13/0.46 % Net memory used: 76.191 MB
%------------------------------------------------------------------------------