%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP565-1 : 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 : n015.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 0.09s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP565-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n015.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Sun Sep 20 20:20:05 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Drodi V4.1.1
% 0.09/0.35 % Refutation found
% 0.09/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.35 fof(f1,axiom,(
% 0.09/0.35 (![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 ))),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f2,axiom,(
% 0.09/0.35 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f3,axiom,(
% 0.09/0.35 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f4,axiom,(
% 0.09/0.35 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f5,negated_conjecture,(
% 0.09/0.35 multiply(inverse(a1),a1) != identity ),
% 0.09/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.35 fof(f6,plain,(
% 0.09/0.35 ![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)),
% 0.09/0.35 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.35 fof(f7,plain,(
% 0.09/0.35 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.09/0.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.35 fof(f8,plain,(
% 0.09/0.35 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.09/0.35 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.35 fof(f9,plain,(
% 0.09/0.35 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.09/0.35 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.35 fof(f10,plain,(
% 0.09/0.35 ~multiply(inverse(a1),a1)=identity),
% 0.09/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.35 fof(f11,definition,(
% 0.09/0.35 sF1_fnc=inverse(a1)),
% 0.09/0.35 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.35 fof(f12,definition,(
% 0.09/0.35 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.09/0.35 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.35 fof(f13,plain,(
% 0.09/0.35 ~sF0_fnc=identity),
% 0.09/0.35 inference(definition_folding,[],[f10,f12,f11])).
% 0.09/0.35 fof(f14,plain,(
% 0.09/0.35 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity))=X1)),
% 0.09/0.35 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.09/0.35 fof(f15,plain,(
% 0.09/0.35 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.09/0.35 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.35 fof(f16,plain,(
% 0.09/0.35 identity=double_divide(a1,sF1_fnc)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.09/0.35 fof(f20,plain,(
% 0.09/0.35 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),double_divide(identity,identity))),inverse(identity))=X1)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.09/0.35 fof(f28,plain,(
% 0.09/0.35 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity))=X1)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f8,f20])).
% 0.09/0.35 fof(f33,plain,(
% 0.09/0.35 multiply(sF1_fnc,a1)=inverse(identity)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.09/0.35 fof(f35,plain,(
% 0.09/0.35 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.09/0.35 fof(f37,plain,(
% 0.09/0.35 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),sF0_fnc)=X1)),
% 0.09/0.35 inference(backward_demodulation,[status(thm)],[f44,f14])).
% 0.09/0.35 fof(f40,plain,(
% 0.09/0.35 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),sF0_fnc)=X1)),
% 0.09/0.35 inference(backward_demodulation,[status(thm)],[f44,f28])).
% 0.09/0.35 fof(f44,plain,(
% 0.09/0.35 sF0_fnc=inverse(identity)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f12,f33])).
% 0.09/0.35 fof(f47,plain,(
% 0.09/0.35 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),sF0_fnc)),sF0_fnc)=X1)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f44,f40])).
% 0.09/0.35 fof(f48,plain,(
% 0.09/0.35 identity=double_divide(identity,sF0_fnc)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f44,f9])).
% 0.09/0.35 fof(f55,plain,(
% 0.09/0.35 multiply(identity,identity)=inverse(sF0_fnc)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f44,f35])).
% 0.09/0.35 fof(f143,plain,(
% 0.09/0.35 ![X0]: (double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,sF0_fnc))),sF0_fnc)=X0)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f48,f37])).
% 0.09/0.35 fof(f158,plain,(
% 0.09/0.35 ![X0]: (double_divide(double_divide(identity,double_divide(inverse(X0),double_divide(identity,sF0_fnc))),sF0_fnc)=X0)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f8,f143])).
% 0.09/0.35 fof(f159,plain,(
% 0.09/0.35 ![X0]: (double_divide(double_divide(identity,double_divide(inverse(X0),identity)),sF0_fnc)=X0)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f48,f158])).
% 0.09/0.35 fof(f160,plain,(
% 0.09/0.35 ![X0]: (double_divide(double_divide(identity,inverse(inverse(X0))),sF0_fnc)=X0)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f8,f159])).
% 0.09/0.35 fof(f161,plain,(
% 0.09/0.35 ![X0]: (double_divide(double_divide(identity,multiply(identity,X0)),sF0_fnc)=X0)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f35,f160])).
% 0.09/0.35 fof(f220,plain,(
% 0.09/0.35 double_divide(double_divide(identity,inverse(sF0_fnc)),sF0_fnc)=identity),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f55,f161])).
% 0.09/0.35 fof(f389,plain,(
% 0.09/0.35 double_divide(double_divide(sF0_fnc,identity),sF0_fnc)=identity),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f220,f47])).
% 0.09/0.35 fof(f391,plain,(
% 0.09/0.35 ![X0]: (double_divide(double_divide(X0,double_divide(identity,sF0_fnc)),sF0_fnc)=X0)),
% 0.09/0.35 inference(paramodulation,[status(thm)],[f9,f47])).
% 0.09/0.35 fof(f405,plain,(
% 0.09/0.35 double_divide(inverse(sF0_fnc),sF0_fnc)=identity),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f8,f389])).
% 0.09/0.35 fof(f406,plain,(
% 0.09/0.35 ![X0]: (double_divide(double_divide(X0,identity),sF0_fnc)=X0)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f48,f391])).
% 0.09/0.35 fof(f407,plain,(
% 0.09/0.35 sF0_fnc=identity),
% 0.09/0.35 inference(backward_demodulation,[status(thm)],[f408,f405])).
% 0.09/0.35 fof(f408,plain,(
% 0.09/0.35 ![X0]: (double_divide(inverse(X0),sF0_fnc)=X0)),
% 0.09/0.35 inference(forward_demodulation,[status(thm)],[f8,f406])).
% 0.09/0.35 fof(f418,plain,(
% 0.09/0.35 $false),
% 0.09/0.35 inference(forward_subsumption_resolution,[status(thm)],[f407,f13])).
% 0.09/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.37 % Elapsed time: 0.022344 seconds
% 0.09/0.37 % CPU time: 0.042143 seconds
% 0.09/0.37 % Total memory used: 2.066 MB
% 0.09/0.37 % Net memory used: 2.032 MB
%------------------------------------------------------------------------------