%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP570-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP570-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 20:16:49 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![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 ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,negated_conjecture,(
% 0.12/0.38 multiply(identity,a2) != a2 ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 ![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)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ~multiply(identity,a2)=a2),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f11,definition,(
% 0.12/0.38 sF0_fnc=multiply(identity,a2)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 ~sF0_fnc=a2),
% 0.12/0.38 inference(definition_folding,[],[f10,f11])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity))=X1)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f14,f9])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ![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)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 ![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),multiply(identity,identity))),inverse(identity))=X3)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f17,f20])).
% 0.12/0.38 fof(f26,plain,(
% 0.12/0.38 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f8,f21])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f17,f26])).
% 0.12/0.38 fof(f32,plain,(
% 0.12/0.38 ![X0]: (identity=double_divide(inverse(X0),multiply(identity,X0)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f17,f9])).
% 0.12/0.38 fof(f73,plain,(
% 0.12/0.38 ![X0,X1,X2,X3,X4]: (double_divide(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)))),double_divide(double_divide(X4,X3),multiply(identity,identity))),inverse(identity))=X4)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f25])).
% 0.12/0.39 fof(f79,plain,(
% 0.12/0.39 ![X0,X1]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1))),identity),inverse(identity))=identity)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f18,f25])).
% 0.12/0.39 fof(f82,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,multiply(identity,identity))),inverse(identity))=double_divide(double_divide(X3,double_divide(double_divide(X4,double_divide(X3,X5)),inverse(X5))),double_divide(double_divide(X2,X4),multiply(identity,identity))))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f25,f25])).
% 0.12/0.39 fof(f83,plain,(
% 0.12/0.39 ![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,multiply(identity,identity))),inverse(identity))=double_divide(X3,double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X4))))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f25])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),multiply(identity,identity))),double_divide(double_divide(X4,X3),multiply(identity,identity))),inverse(identity))=X4)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f17,f73])).
% 0.12/0.39 fof(f99,plain,(
% 0.12/0.39 ![X0,X1]: (double_divide(inverse(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1)))),inverse(identity))=identity)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f8,f79])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 ![X0,X1]: (double_divide(multiply(double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1)),X0),inverse(identity))=identity)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f14,f99])).
% 0.12/0.39 fof(f228,plain,(
% 0.12/0.39 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=X0)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f32,f27])).
% 0.12/0.39 fof(f242,plain,(
% 0.12/0.39 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f8,f228])).
% 0.12/0.39 fof(f252,plain,(
% 0.12/0.39 ![X0,X1]: (double_divide(multiply(X0,X1),inverse(identity))=double_divide(X1,X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f14,f242])).
% 0.12/0.39 fof(f255,plain,(
% 0.12/0.39 ![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,multiply(identity,identity))),inverse(identity))=inverse(X2))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f242,f25])).
% 0.12/0.39 fof(f261,plain,(
% 0.12/0.39 ![X0,X1]: (double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1)))=identity)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f252,f100])).
% 0.12/0.39 fof(f264,plain,(
% 0.12/0.39 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f255,f83])).
% 0.12/0.39 fof(f265,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (inverse(X0)=double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),double_divide(double_divide(X0,X2),multiply(identity,identity))))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f255,f82])).
% 0.12/0.39 fof(f278,plain,(
% 0.12/0.39 inverse(identity)=identity),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f264,f261])).
% 0.12/0.39 fof(f284,plain,(
% 0.12/0.39 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),multiply(identity,identity))),double_divide(double_divide(X2,X1),multiply(identity,identity))),inverse(identity))=X2)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f264,f94])).
% 0.12/0.39 fof(f289,plain,(
% 0.12/0.39 ![X0,X1]: (inverse(X0)=double_divide(inverse(X1),double_divide(double_divide(X0,X1),multiply(identity,identity))))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f264,f265])).
% 0.12/0.39 fof(f334,plain,(
% 0.12/0.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),multiply(identity,identity))),inverse(identity))=X1)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f289,f284])).
% 0.12/0.39 fof(f335,plain,(
% 0.12/0.39 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f289,f334])).
% 0.12/0.39 fof(f336,plain,(
% 0.12/0.39 ![X0]: (double_divide(inverse(X0),identity)=X0)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f278,f335])).
% 0.12/0.39 fof(f337,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f338,f17])).
% 0.12/0.39 fof(f338,plain,(
% 0.12/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f8,f336])).
% 0.12/0.39 fof(f402,plain,(
% 0.12/0.39 sF0_fnc=a2),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f337,f11])).
% 0.12/0.39 fof(f437,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f402,f12])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.039544 seconds
% 0.12/0.41 % CPU time: 0.124477 seconds
% 0.12/0.41 % Total memory used: 5.105 MB
% 0.12/0.41 % Net memory used: 5.049 MB
%------------------------------------------------------------------------------