%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP592-1 : 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 : n003.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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP592-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:19:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![A,B,C]: (double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,negated_conjecture,(
% 0.13/0.40 multiply(a,b) != multiply(b,a) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1)=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f5,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f6,plain,(
% 0.13/0.40 ~multiply(a,b)=multiply(b,a)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f7,definition,(
% 0.13/0.40 sF0_fnc=multiply(a,b)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.40 fof(f8,definition,(
% 0.13/0.40 sF1_fnc=multiply(b,a)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.13/0.40 fof(f9,plain,(
% 0.13/0.40 ~sF0_fnc=sF1_fnc),
% 0.13/0.40 inference(definition_folding,[],[f6,f8,f7])).
% 0.13/0.40 fof(f10,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2)=X1)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.40 fof(f11,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2)=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 0.13/0.40 fof(f12,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X3)),X3)=double_divide(X1,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f5,f11])).
% 0.13/0.40 fof(f13,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3)=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.13/0.40 fof(f14,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0)))=inverse(X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f11,f5])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(multiply(multiply(sF1_fnc,X0),double_divide(X0,X1)),X1)=double_divide(a,b))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f8,f12])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(multiply(inverse(X0),X0),inverse(X1))=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f14,f13])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(inverse(X0),multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),X0))=inverse(X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f110,f14])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f110,f11])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X1))=inverse(X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f110,f5])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f142,f141])).
% 0.13/0.40 fof(f144,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f142,f139])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(inverse(X0),inverse(multiply(inverse(X1),X1)))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f142,f143])).
% 0.13/0.40 fof(f171,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1))=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f142,f110])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(multiply(inverse(X2),X2)))=double_divide(X1,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f5,f170])).
% 0.13/0.40 fof(f356,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(multiply(multiply(sF1_fnc,inverse(X0)),X0),inverse(multiply(inverse(X1),X1)))=double_divide(a,b))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f170,f15])).
% 0.13/0.40 fof(f359,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),inverse(X1)),X1),inverse(multiply(inverse(X2),X2)))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f170,f11])).
% 0.13/0.40 fof(f366,plain,(
% 0.13/0.40 ![X0]: (double_divide(X0,multiply(sF1_fnc,inverse(X0)))=double_divide(a,b))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f345,f356])).
% 0.13/0.40 fof(f368,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),inverse(X0)))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f345,f359])).
% 0.13/0.40 fof(f388,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f170,f171])).
% 0.13/0.40 fof(f426,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),X1))=inverse(X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f388,f368])).
% 0.13/0.40 fof(f440,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),X0),double_divide(X1,X2)),X2)=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f388,f11])).
% 0.13/0.40 fof(f482,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(X0,inverse(multiply(inverse(X1),X1)))=inverse(X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f142,f426])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f426,f5])).
% 0.13/0.40 fof(f514,plain,(
% 0.13/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f482,f170])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f482,f345])).
% 0.13/0.40 fof(f534,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(inverse(inverse(double_divide(X0,X1))),X1)=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f506,f440])).
% 0.13/0.40 fof(f581,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f514,f534])).
% 0.13/0.40 fof(f641,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(X0,multiply(X1,inverse(X0)))=inverse(X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f514,f368])).
% 0.13/0.40 fof(f642,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=inverse(inverse(X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f514,f144])).
% 0.13/0.40 fof(f653,plain,(
% 0.13/0.40 inverse(sF1_fnc)=double_divide(a,b)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f641,f366])).
% 0.13/0.40 fof(f658,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f514,f642])).
% 0.13/0.40 fof(f829,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f658,f658])).
% 0.13/0.40 fof(f843,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f515,f829])).
% 0.13/0.40 fof(f1168,plain,(
% 0.13/0.40 double_divide(inverse(sF1_fnc),b)=a),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f653,f581])).
% 0.13/0.40 fof(f1293,plain,(
% 0.13/0.40 multiply(a,b)=inverse(inverse(sF1_fnc))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f1168,f843])).
% 0.13/0.40 fof(f1302,plain,(
% 0.13/0.40 sF0_fnc=inverse(inverse(sF1_fnc))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f7,f1293])).
% 0.13/0.40 fof(f1303,plain,(
% 0.13/0.40 sF0_fnc=sF1_fnc),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f514,f1302])).
% 0.13/0.40 fof(f1304,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1303,f9])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.054006 seconds
% 0.13/0.42 % CPU time: 0.298206 seconds
% 0.13/0.42 % Total memory used: 14.973 MB
% 0.13/0.42 % Net memory used: 14.246 MB
%------------------------------------------------------------------------------