%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP566-1 : 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 : 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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP566-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:17:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,axiom,(
% 0.15/0.39 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,axiom,(
% 0.15/0.39 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,axiom,(
% 0.15/0.39 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,axiom,(
% 0.15/0.39 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f5,negated_conjecture,(
% 0.15/0.39 multiply(identity,a2) != a2 ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f6,plain,(
% 0.15/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity))=X1)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.39 fof(f7,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.39 fof(f8,plain,(
% 0.15/0.39 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.39 fof(f9,plain,(
% 0.15/0.39 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.39 fof(f10,plain,(
% 0.15/0.39 ~multiply(identity,a2)=a2),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.39 fof(f11,definition,(
% 0.15/0.39 sF0_fnc=multiply(identity,a2)),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.15/0.39 fof(f12,plain,(
% 0.15/0.39 ~sF0_fnc=a2),
% 0.15/0.39 inference(definition_folding,[],[f10,f11])).
% 0.15/0.39 fof(f13,plain,(
% 0.15/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity))=X1)),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.15/0.39 fof(f14,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.15/0.39 fof(f15,plain,(
% 0.15/0.39 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.15/0.39 fof(f16,plain,(
% 0.15/0.39 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.15/0.39 fof(f19,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(double_divide(X3,X1),double_divide(identity,inverse(identity)))),inverse(identity))=X3)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.15/0.39 fof(f20,plain,(
% 0.15/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(identity,inverse(X0)))),inverse(identity))=X1)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.15/0.39 fof(f21,plain,(
% 0.15/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),double_divide(identity,identity))),inverse(identity))=X1)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f8,f13])).
% 0.15/0.39 fof(f25,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(double_divide(X3,X1),identity)),inverse(identity))=X3)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f9,f19])).
% 0.15/0.39 fof(f26,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(double_divide(X3,X1))),inverse(identity))=X3)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f8,f25])).
% 0.15/0.39 fof(f27,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),multiply(X1,X3)),inverse(identity))=X3)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f14,f26])).
% 0.15/0.39 fof(f28,plain,(
% 0.15/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),double_divide(identity,inverse(X0)))),inverse(identity))=X1)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f8,f20])).
% 0.15/0.39 fof(f29,plain,(
% 0.15/0.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity))=X1)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f8,f21])).
% 0.15/0.39 fof(f36,plain,(
% 0.15/0.39 ![X0]: (identity=double_divide(inverse(X0),multiply(identity,X0)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f16,f9])).
% 0.15/0.39 fof(f84,plain,(
% 0.15/0.39 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(X1),double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity)),inverse(identity))=X1)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f15,f27])).
% 0.15/0.39 fof(f85,plain,(
% 0.15/0.39 ![X0,X1]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(identity,X1))),sF0_fnc),inverse(identity))=a2)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f11,f27])).
% 0.15/0.39 fof(f105,plain,(
% 0.15/0.39 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f13,f84])).
% 0.15/0.39 fof(f177,plain,(
% 0.15/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(inverse(X0),identity)),inverse(identity))=X0)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f9,f28])).
% 0.15/0.39 fof(f187,plain,(
% 0.15/0.39 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),inverse(identity))=X0)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f8,f177])).
% 0.15/0.39 fof(f188,plain,(
% 0.15/0.39 ![X0]: (double_divide(double_divide(identity,multiply(identity,X0)),inverse(identity))=X0)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f16,f187])).
% 0.15/0.39 fof(f329,plain,(
% 0.15/0.39 double_divide(double_divide(identity,sF0_fnc),inverse(identity))=a2),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f11,f188])).
% 0.15/0.39 fof(f364,plain,(
% 0.15/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=inverse(X0))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f105,f29])).
% 0.15/0.39 fof(f365,plain,(
% 0.15/0.39 double_divide(double_divide(identity,double_divide(a2,inverse(identity))),inverse(identity))=double_divide(identity,sF0_fnc)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f329,f29])).
% 0.15/0.39 fof(f367,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),multiply(X2,X0)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f27,f29])).
% 0.15/0.39 fof(f370,plain,(
% 0.15/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f13,f29])).
% 0.15/0.39 fof(f389,plain,(
% 0.15/0.39 inverse(a2)=double_divide(identity,sF0_fnc)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f364,f365])).
% 0.15/0.39 fof(f402,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (inverse(X0)=double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),multiply(X2,X0)))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f364,f367])).
% 0.15/0.39 fof(f417,plain,(
% 0.15/0.39 double_divide(double_divide(inverse(identity),sF0_fnc),inverse(identity))=a2),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f420,f85])).
% 0.15/0.39 fof(f418,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=double_divide(inverse(X1),multiply(X1,X0)))),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f420,f402])).
% 0.15/0.39 fof(f420,plain,(
% 0.15/0.39 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f364,f370])).
% 0.15/0.39 fof(f450,plain,(
% 0.15/0.39 multiply(sF0_fnc,identity)=inverse(inverse(a2))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f389,f14])).
% 0.15/0.39 fof(f452,plain,(
% 0.15/0.39 multiply(sF0_fnc,identity)=multiply(identity,a2)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f16,f450])).
% 0.15/0.39 fof(f456,plain,(
% 0.15/0.39 multiply(sF0_fnc,identity)=sF0_fnc),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f11,f452])).
% 0.15/0.39 fof(f496,plain,(
% 0.15/0.39 inverse(identity)=identity),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f36,f418])).
% 0.15/0.39 fof(f527,plain,(
% 0.15/0.39 double_divide(double_divide(inverse(identity),sF0_fnc),identity)=a2),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f496,f417])).
% 0.15/0.39 fof(f592,plain,(
% 0.15/0.39 inverse(double_divide(inverse(identity),sF0_fnc))=a2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f8,f527])).
% 0.15/0.39 fof(f593,plain,(
% 0.15/0.39 multiply(sF0_fnc,inverse(identity))=a2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f14,f592])).
% 0.15/0.39 fof(f594,plain,(
% 0.15/0.39 a2=sF0_fnc),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f595,f456])).
% 0.15/0.39 fof(f595,plain,(
% 0.15/0.39 multiply(sF0_fnc,identity)=a2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f496,f593])).
% 0.15/0.39 fof(f695,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f594,f12])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.043877 seconds
% 0.15/0.41 % CPU time: 0.162442 seconds
% 0.15/0.41 % Total memory used: 9.460 MB
% 0.15/0.41 % Net memory used: 9.407 MB
%------------------------------------------------------------------------------