%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP601-1 : 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 : n017.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 12:36:53 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP601-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:12:56 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.45 fof(f1,axiom,(
% 0.12/0.45 (![A,B,C]: (inverse(double_divide(inverse(double_divide(A,inverse(double_divide(B,double_divide(A,C))))),C)) = B ))),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f2,axiom,(
% 0.12/0.45 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f3,negated_conjecture,(
% 0.12/0.45 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f4,plain,(
% 0.12/0.45 ![X0,X1,X2]: (inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2))=X1)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.45 fof(f5,plain,(
% 0.12/0.45 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.45 fof(f6,plain,(
% 0.12/0.45 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.45 fof(f7,definition,(
% 0.12/0.45 sF1_fnc=inverse(a1)),
% 0.12/0.45 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.12/0.45 fof(f8,definition,(
% 0.12/0.45 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.12/0.45 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.12/0.45 fof(f9,definition,(
% 0.12/0.45 sF3_fnc=inverse(b1)),
% 0.12/0.45 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.12/0.45 fof(f10,definition,(
% 0.12/0.45 sF2_fnc=multiply(sF3_fnc,b1)),
% 0.12/0.45 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.12/0.45 fof(f11,plain,(
% 0.12/0.45 ~sF0_fnc=sF2_fnc),
% 0.12/0.45 inference(definition_folding,[],[f6,f10,f9,f8,f7])).
% 0.12/0.45 fof(f12,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(X0,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X0))))))=X2)),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f5,f4])).
% 0.12/0.45 fof(f13,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(X0,multiply(inverse(double_divide(X1,double_divide(X2,X0))),X2))=X1)),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.12/0.45 fof(f14,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1))=X2)),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.12/0.45 fof(f15,plain,(
% 0.12/0.45 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.12/0.45 fof(f17,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0)))=X2)),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.12/0.45 fof(f19,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0)=X2)),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.12/0.45 fof(f20,plain,(
% 0.12/0.45 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,multiply(double_divide(multiply(X1,X0),double_divide(X2,X3)),X4)),multiply(X3,multiply(X4,X2)))=X1)),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.12/0.45 fof(f22,plain,(
% 0.12/0.45 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1))=double_divide(X2,X0))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.12/0.45 fof(f63,plain,(
% 0.12/0.45 ![X0,X1,X2]: (X0=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f19,f22])).
% 0.12/0.45 fof(f100,plain,(
% 0.12/0.45 ![X0,X1,X2]: (X0=double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f22,f63])).
% 0.12/0.45 fof(f268,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0))=inverse(X1))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f100,f5])).
% 0.12/0.45 fof(f392,plain,(
% 0.12/0.45 ![X0,X1,X2]: (X0=inverse(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1))))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f20,f268])).
% 0.12/0.45 fof(f444,plain,(
% 0.12/0.45 ![X0,X1,X2]: (X0=multiply(double_divide(X1,X2),multiply(X0,multiply(X2,X1))))),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f5,f392])).
% 0.12/0.45 fof(f467,plain,(
% 0.12/0.45 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(X0,multiply(double_divide(X2,multiply(X1,X3)),multiply(X3,X2)))))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f100,f444])).
% 0.12/0.46 fof(f521,plain,(
% 0.12/0.46 ![X0,X1]: (X0=multiply(X1,multiply(X0,inverse(X1))))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f268,f467])).
% 0.12/0.46 fof(f526,plain,(
% 0.12/0.46 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),X1)=X1)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f14,f521])).
% 0.12/0.46 fof(f531,plain,(
% 0.12/0.46 ![X0]: (X0=multiply(b1,multiply(X0,sF3_fnc)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f9,f521])).
% 0.12/0.46 fof(f539,plain,(
% 0.12/0.46 ![X0,X1]: (X0=multiply(double_divide(inverse(X0),X1),X1))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f521,f444])).
% 0.12/0.46 fof(f565,plain,(
% 0.12/0.46 ![X0,X1]: (X0=multiply(X0,multiply(X1,inverse(X1))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f444,f526])).
% 0.12/0.46 fof(f571,plain,(
% 0.12/0.46 ![X0]: (multiply(double_divide(sF1_fnc,a1),X0)=X0)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f7,f526])).
% 0.12/0.46 fof(f619,plain,(
% 0.12/0.46 ![X0]: (b1=multiply(double_divide(sF3_fnc,X0),X0))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f531,f444])).
% 0.12/0.46 fof(f1006,plain,(
% 0.12/0.46 b1=inverse(sF3_fnc)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f268,f619])).
% 0.12/0.46 fof(f1101,plain,(
% 0.12/0.46 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f268,f539])).
% 0.12/0.46 fof(f1148,plain,(
% 0.12/0.46 a1=inverse(sF1_fnc)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f7,f1101])).
% 0.12/0.46 fof(f1172,plain,(
% 0.12/0.46 ![X0]: (X0=multiply(X0,multiply(sF1_fnc,a1)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f1148,f565])).
% 0.12/0.46 fof(f1174,plain,(
% 0.12/0.46 ![X0]: (X0=multiply(X0,multiply(sF3_fnc,b1)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f1006,f565])).
% 0.12/0.46 fof(f1229,plain,(
% 0.12/0.46 ![X0]: (X0=multiply(X0,sF0_fnc))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f8,f1172])).
% 0.12/0.46 fof(f1230,plain,(
% 0.12/0.46 ![X0]: (X0=multiply(X0,sF2_fnc))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f10,f1174])).
% 0.12/0.46 fof(f1236,plain,(
% 0.12/0.46 double_divide(sF1_fnc,a1)=sF0_fnc),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f571,f1229])).
% 0.12/0.46 fof(f1339,plain,(
% 0.12/0.46 ![X0]: (multiply(sF0_fnc,X0)=X0)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f1236,f571])).
% 0.12/0.46 fof(f1359,plain,(
% 0.12/0.46 sF0_fnc=sF2_fnc),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f1230,f1339])).
% 0.12/0.46 fof(f1399,plain,(
% 0.12/0.46 $false),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1359,f11])).
% 0.12/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.47 % Elapsed time: 0.093213 seconds
% 0.12/0.47 % CPU time: 0.606536 seconds
% 0.12/0.47 % Total memory used: 27.409 MB
% 0.12/0.47 % Net memory used: 26.986 MB
%------------------------------------------------------------------------------