%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP456-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:36:39 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP456-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:15:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![A,B,C]: (divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 (![A]: (identity = divide(A,A) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,negated_conjecture,(
% 0.09/0.37 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f7,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f8,plain,(
% 0.09/0.37 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 ![X0]: (identity=divide(X0,X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f11,definition,(
% 0.09/0.37 sF1_fnc=multiply(a3,b3)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.37 fof(f12,definition,(
% 0.09/0.37 sF0_fnc=multiply(sF1_fnc,c3)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.37 fof(f13,definition,(
% 0.09/0.37 sF3_fnc=multiply(b3,c3)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.09/0.37 fof(f14,definition,(
% 0.09/0.37 sF2_fnc=multiply(a3,sF3_fnc)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ~sF0_fnc=sF2_fnc),
% 0.09/0.37 inference(definition_folding,[],[f10,f14,f13,f12,f11])).
% 0.09/0.37 fof(f16,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2)=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f9,f16])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f8,f18])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 inverse(identity)=identity),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.09/0.37 fof(f22,plain,(
% 0.09/0.37 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f8,f17])).
% 0.09/0.37 fof(f24,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f20,f17])).
% 0.09/0.37 fof(f44,plain,(
% 0.09/0.37 ![X0,X1]: (divide(inverse(inverse(divide(X0,divide(inverse(identity),X1)))),X1)=X0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f8,f19])).
% 0.09/0.37 fof(f51,plain,(
% 0.09/0.37 ![X0,X1]: (divide(inverse(divide(X0,divide(X1,identity))),inverse(X0))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.09/0.37 fof(f58,plain,(
% 0.09/0.37 ![X0,X1]: (divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1)=X0)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f20,f44])).
% 0.09/0.37 fof(f59,plain,(
% 0.09/0.37 ![X0,X1]: (divide(inverse(inverse(divide(X0,inverse(X1)))),X1)=X0)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f8,f58])).
% 0.09/0.37 fof(f60,plain,(
% 0.09/0.37 ![X0,X1]: (divide(inverse(inverse(multiply(X0,X1))),X1)=X0)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f17,f59])).
% 0.09/0.37 fof(f65,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(divide(X0,divide(X1,identity))),X0)=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f17,f51])).
% 0.09/0.37 fof(f66,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(divide(X0,multiply(X1,identity))),X0)=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f24,f65])).
% 0.09/0.38 fof(f72,plain,(
% 0.09/0.38 ![X0]: (multiply(inverse(inverse(multiply(X0,identity))),identity)=X0)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f24,f60])).
% 0.09/0.38 fof(f76,plain,(
% 0.09/0.38 divide(inverse(inverse(sF3_fnc)),c3)=b3),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f13,f60])).
% 0.09/0.38 fof(f86,plain,(
% 0.09/0.38 ![X0]: (divide(inverse(divide(inverse(sF3_fnc),divide(X0,b3))),c3)=X0)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f76,f19])).
% 0.09/0.38 fof(f103,plain,(
% 0.09/0.38 ![X0]: (divide(inverse(divide(inverse(sF3_fnc),X0)),c3)=inverse(inverse(multiply(X0,b3))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f60,f86])).
% 0.09/0.38 fof(f141,plain,(
% 0.09/0.38 ![X0]: (multiply(inverse(inverse(X0)),identity)=inverse(inverse(multiply(X0,identity))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f72,f72])).
% 0.09/0.38 fof(f147,plain,(
% 0.09/0.38 ![X0]: (inverse(inverse(multiply(multiply(X0,identity),identity)))=X0)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f141,f72])).
% 0.09/0.38 fof(f156,plain,(
% 0.09/0.38 ![X0]: (multiply(inverse(identity),multiply(X0,identity))=X0)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f9,f66])).
% 0.09/0.38 fof(f158,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=inverse(divide(identity,multiply(X1,identity))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f66,f66])).
% 0.09/0.38 fof(f160,plain,(
% 0.09/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),X1)=inverse(divide(X1,multiply(X0,identity))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f66,f60])).
% 0.09/0.38 fof(f162,plain,(
% 0.09/0.38 ![X0]: (multiply(identity,multiply(X0,identity))=X0)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f20,f156])).
% 0.09/0.38 fof(f163,plain,(
% 0.09/0.38 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f165,f147])).
% 0.09/0.38 fof(f164,plain,(
% 0.09/0.38 ![X0]: (multiply(inverse(inverse(X0)),identity)=X0)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f165,f141])).
% 0.09/0.38 fof(f165,plain,(
% 0.09/0.38 ![X0]: (inverse(inverse(multiply(X0,identity)))=X0)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f22,f162])).
% 0.09/0.38 fof(f168,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=inverse(inverse(multiply(X1,identity))))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f8,f158])).
% 0.09/0.38 fof(f170,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f165,f168])).
% 0.09/0.38 fof(f173,plain,(
% 0.09/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),X1)=inverse(divide(X1,X0)))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f163,f160])).
% 0.09/0.38 fof(f201,plain,(
% 0.09/0.38 ![X0]: (divide(inverse(divide(inverse(sF3_fnc),X0)),c3)=multiply(X0,b3))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f206,f103])).
% 0.09/0.38 fof(f206,plain,(
% 0.09/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f163,f164])).
% 0.09/0.38 fof(f216,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f217,f170])).
% 0.09/0.38 fof(f217,plain,(
% 0.09/0.38 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f206,f173])).
% 0.09/0.38 fof(f231,plain,(
% 0.09/0.38 ![X0]: (divide(divide(X0,inverse(sF3_fnc)),c3)=multiply(X0,b3))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f217,f201])).
% 0.09/0.38 fof(f232,plain,(
% 0.09/0.38 ![X0]: (divide(multiply(X0,sF3_fnc),c3)=multiply(X0,b3))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f17,f231])).
% 0.09/0.38 fof(f543,plain,(
% 0.09/0.38 divide(sF2_fnc,c3)=multiply(a3,b3)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f14,f232])).
% 0.09/0.38 fof(f548,plain,(
% 0.09/0.38 divide(sF2_fnc,c3)=sF1_fnc),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f11,f543])).
% 0.09/0.38 fof(f549,plain,(
% 0.09/0.38 multiply(sF1_fnc,c3)=sF2_fnc),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f548,f216])).
% 0.09/0.38 fof(f550,plain,(
% 0.09/0.38 sF0_fnc=sF2_fnc),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f12,f549])).
% 0.09/0.38 fof(f551,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f550,f15])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.033504 seconds
% 0.12/0.39 % CPU time: 0.078739 seconds
% 0.12/0.39 % Total memory used: 3.928 MB
% 0.12/0.39 % Net memory used: 3.809 MB
%------------------------------------------------------------------------------