%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP554-1 : 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 : n005.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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP554-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:16:33 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f1,axiom,(
% 0.10/0.37 (![A,B,C]: (divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f2,axiom,(
% 0.10/0.37 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f3,negated_conjecture,(
% 0.10/0.37 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f4,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2)=X1)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.37 fof(f5,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.37 fof(f6,plain,(
% 0.10/0.37 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.37 fof(f7,definition,(
% 0.10/0.37 sF2_fnc=inverse(b2)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.10/0.37 fof(f8,definition,(
% 0.10/0.37 sF1_fnc=multiply(sF2_fnc,b2)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.37 fof(f9,definition,(
% 0.10/0.37 sF0_fnc=multiply(sF1_fnc,a2)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.37 fof(f10,plain,(
% 0.10/0.37 ~sF0_fnc=a2),
% 0.10/0.37 inference(definition_folding,[],[f6,f9,f8,f7])).
% 0.10/0.37 fof(f11,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(multiply(X0,divide(X1,divide(X0,X2))),X2)=X1)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.10/0.37 fof(f12,plain,(
% 0.10/0.37 ![X0]: (multiply(X0,b2)=divide(X0,sF2_fnc))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.10/0.37 fof(f13,plain,(
% 0.10/0.37 sF1_fnc=divide(sF2_fnc,sF2_fnc)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f12,f8])).
% 0.10/0.37 fof(f14,plain,(
% 0.10/0.37 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2)=X1)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f5,f11])).
% 0.10/0.37 fof(f15,plain,(
% 0.10/0.37 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,divide(X0,X2)))))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.10/0.37 fof(f16,plain,(
% 0.10/0.37 ![X0,X1,X2,X3]: (divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2)=X3)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.10/0.37 fof(f17,plain,(
% 0.10/0.37 ![X0]: (divide(multiply(sF2_fnc,divide(X0,sF1_fnc)),sF2_fnc)=X0)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f13,f11])).
% 0.10/0.37 fof(f20,plain,(
% 0.10/0.37 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2)=X1)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f5,f14])).
% 0.10/0.37 fof(f23,plain,(
% 0.10/0.37 ![X0,X1]: (divide(multiply(sF2_fnc,X0),sF2_fnc)=multiply(X1,divide(X0,divide(X1,sF1_fnc))))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f11,f17])).
% 0.10/0.37 fof(f38,plain,(
% 0.10/0.37 ![X0]: (divide(divide(multiply(sF2_fnc,X0),sF2_fnc),sF1_fnc)=X0)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f23,f11])).
% 0.10/0.37 fof(f52,plain,(
% 0.10/0.37 ![X0,X1,X2,X3,X4]: (divide(multiply(X0,X1),X2)=multiply(multiply(X3,divide(X4,divide(X3,divide(X0,X2)))),divide(X1,X4)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.10/0.37 fof(f53,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(multiply(divide(multiply(sF2_fnc,X0),sF2_fnc),X1),sF1_fnc)=multiply(X2,divide(X1,divide(X2,X0))))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f38,f15])).
% 0.10/0.37 fof(f59,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.10/0.37 fof(f63,plain,(
% 0.10/0.37 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(divide(multiply(X0,X3),X2),divide(X1,X3)))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f15,f52])).
% 0.10/0.37 fof(f77,plain,(
% 0.10/0.37 ![X0]: (divide(divide(sF0_fnc,X0),divide(sF1_fnc,X0))=a2)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f9,f59])).
% 0.10/0.37 fof(f98,plain,(
% 0.10/0.37 ![X0]: (divide(multiply(sF0_fnc,X0),divide(sF1_fnc,inverse(X0)))=a2)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f5,f77])).
% 0.10/0.37 fof(f107,plain,(
% 0.10/0.37 ![X0]: (divide(multiply(sF0_fnc,X0),multiply(sF1_fnc,X0))=a2)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f5,f98])).
% 0.10/0.37 fof(f119,plain,(
% 0.10/0.37 ![X0]: (divide(a2,divide(sF0_fnc,multiply(sF1_fnc,X0)))=X0)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f107,f59])).
% 0.10/0.37 fof(f165,plain,(
% 0.10/0.37 ![X0,X1,X2,X3,X4]: (divide(multiply(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),divide(X4,X3)),X2)=X4)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f11,f16])).
% 0.10/0.37 fof(f191,plain,(
% 0.10/0.37 ![X0,X1,X2,X3,X4,X5]: (divide(multiply(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X4),X2)=multiply(X5,divide(X4,divide(X5,X3))))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.10/0.37 fof(f240,plain,(
% 0.10/0.37 ![X0,X1]: (divide(multiply(sF0_fnc,X0),multiply(sF1_fnc,X1))=multiply(a2,divide(X0,X1)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f119,f15])).
% 0.10/0.37 fof(f241,plain,(
% 0.10/0.37 ![X0]: (divide(multiply(sF0_fnc,X0),multiply(sF1_fnc,X0))=a2)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f119,f11])).
% 0.10/0.37 fof(f251,plain,(
% 0.10/0.37 ![X0]: (multiply(a2,divide(X0,X0))=a2)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f240,f241])).
% 0.10/0.37 fof(f256,plain,(
% 0.10/0.37 multiply(a2,sF1_fnc)=a2),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f13,f251])).
% 0.10/0.37 fof(f263,plain,(
% 0.10/0.37 ![X0,X1]: (divide(divide(a2,X0),divide(a2,X0))=divide(X1,X1))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f251,f59])).
% 0.10/0.37 fof(f266,plain,(
% 0.10/0.37 ![X0]: (divide(divide(a2,X0),divide(a2,X0))=sF1_fnc)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f256,f59])).
% 0.10/0.37 fof(f268,plain,(
% 0.10/0.37 ![X0]: (sF1_fnc=divide(X0,X0))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f266,f263])).
% 0.10/0.37 fof(f286,plain,(
% 0.10/0.37 divide(divide(sF0_fnc,sF1_fnc),sF1_fnc)=a2),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f268,f77])).
% 0.10/0.37 fof(f290,plain,(
% 0.10/0.37 ![X0]: (divide(multiply(sF2_fnc,X0),sF2_fnc)=multiply(sF1_fnc,divide(X0,sF1_fnc)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f268,f23])).
% 0.10/0.37 fof(f292,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(multiply(X0,divide(X1,divide(X0,X2))),X2)=multiply(X1,sF1_fnc))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f268,f15])).
% 0.10/0.37 fof(f311,plain,(
% 0.10/0.37 ![X0]: (X0=multiply(X0,sF1_fnc))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f11,f292])).
% 0.10/0.37 fof(f320,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,divide(X1,multiply(X0,sF1_fnc)))=X1)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f20,f311])).
% 0.10/0.37 fof(f326,plain,(
% 0.10/0.37 ![X0]: (divide(multiply(sF2_fnc,X0),sF2_fnc)=X0)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f328,f290])).
% 0.10/0.37 fof(f328,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f311,f320])).
% 0.10/0.37 fof(f336,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(multiply(X0,X1),sF1_fnc)=multiply(X2,divide(X1,divide(X2,X0))))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f326,f53])).
% 0.10/0.37 fof(f355,plain,(
% 0.10/0.37 ![X0,X1,X2,X3,X4]: (divide(multiply(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X4),X2)=divide(multiply(X3,X4),sF1_fnc))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f336,f191])).
% 0.10/0.37 fof(f358,plain,(
% 0.10/0.37 ![X0,X1,X2,X3]: (divide(multiply(multiply(divide(multiply(X0,X1),sF1_fnc),divide(X2,X1)),divide(X3,X2)),X0)=X3)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f336,f165])).
% 0.10/0.37 fof(f372,plain,(
% 0.10/0.37 ![X0,X1,X2,X3]: (divide(multiply(multiply(divide(multiply(X0,X1),sF1_fnc),divide(X2,X1)),X3),X0)=divide(multiply(X2,X3),sF1_fnc))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f336,f355])).
% 0.10/0.37 fof(f378,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(multiply(divide(multiply(X0,X1),sF1_fnc),X2),X0)=divide(multiply(X1,X2),sF1_fnc))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f63,f372])).
% 0.10/0.37 fof(f383,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(multiply(divide(multiply(X0,X1),sF1_fnc),divide(X2,X1)),X0)=X2)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f63,f358])).
% 0.10/0.37 fof(f384,plain,(
% 0.10/0.37 ![X0,X1]: (divide(multiply(X0,divide(X1,X0)),sF1_fnc)=X1)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f378,f383])).
% 0.10/0.37 fof(f389,plain,(
% 0.10/0.37 divide(sF0_fnc,sF1_fnc)=a2),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f413,f286])).
% 0.10/0.37 fof(f413,plain,(
% 0.10/0.37 ![X0]: (divide(X0,sF1_fnc)=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f328,f384])).
% 0.10/0.37 fof(f442,plain,(
% 0.10/0.37 sF0_fnc=a2),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f413,f389])).
% 0.10/0.37 fof(f443,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f442,f10])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.032340 seconds
% 0.14/0.39 % CPU time: 0.083936 seconds
% 0.14/0.39 % Total memory used: 4.505 MB
% 0.14/0.39 % Net memory used: 4.369 MB
%------------------------------------------------------------------------------