%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP490-1 : 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 : n014.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 12:36:42 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP490-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n014.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 20:14:56 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.15/5.41 % Refutation found
% 0.15/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.41 fof(f1,axiom,(
% 0.15/5.41 (![A,B,C]: (double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f2,axiom,(
% 0.15/5.41 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f3,axiom,(
% 0.15/5.41 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f4,axiom,(
% 0.15/5.41 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f5,negated_conjecture,(
% 0.15/5.41 multiply(inverse(a1),a1) != identity ),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f6,plain,(
% 0.15/5.41 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1))))=X2)),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/5.41 fof(f7,plain,(
% 0.15/5.41 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.41 fof(f8,plain,(
% 0.15/5.41 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/5.41 fof(f9,plain,(
% 0.15/5.41 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/5.41 fof(f10,plain,(
% 0.15/5.41 ~multiply(inverse(a1),a1)=identity),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/5.41 fof(f11,definition,(
% 0.15/5.41 sF1_fnc=inverse(a1)),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.15/5.41 fof(f12,definition,(
% 0.15/5.41 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.15/5.41 fof(f13,plain,(
% 0.15/5.41 ~sF0_fnc=identity),
% 0.15/5.41 inference(definition_folding,[],[f10,f12,f11])).
% 0.15/5.41 fof(f14,plain,(
% 0.15/5.41 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1))))=X2)),
% 0.15/5.41 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.15/5.41 fof(f15,plain,(
% 0.15/5.41 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/5.41 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.15/5.41 fof(f16,plain,(
% 0.15/5.41 identity=double_divide(a1,sF1_fnc)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.15/5.41 fof(f20,plain,(
% 0.15/5.41 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(multiply(X1,X2),double_divide(X3,X1))),X0),X3)))=double_divide(identity,X2))),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.15/5.41 fof(f27,plain,(
% 0.15/5.41 multiply(sF1_fnc,a1)=inverse(identity)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.15/5.41 fof(f29,plain,(
% 0.15/5.41 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.15/5.41 fof(f33,plain,(
% 0.15/5.41 sF0_fnc=inverse(identity)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f12,f27])).
% 0.15/5.41 fof(f35,plain,(
% 0.15/5.41 identity=double_divide(identity,sF0_fnc)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f33,f9])).
% 0.15/5.41 fof(f37,plain,(
% 0.15/5.41 multiply(sF0_fnc,identity)=inverse(identity)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f35,f15])).
% 0.15/5.41 fof(f39,plain,(
% 0.15/5.41 multiply(sF0_fnc,identity)=sF0_fnc),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f33,f37])).
% 0.15/5.41 fof(f41,plain,(
% 0.15/5.41 ![X0]: (double_divide(double_divide(identity,identity),double_divide(identity,double_divide(sF0_fnc,double_divide(X0,sF0_fnc))))=X0)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f39,f14])).
% 0.15/5.41 fof(f42,plain,(
% 0.15/5.41 ![X0]: (double_divide(inverse(identity),double_divide(identity,double_divide(sF0_fnc,double_divide(X0,sF0_fnc))))=X0)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f41])).
% 0.15/5.41 fof(f43,plain,(
% 0.15/5.41 ![X0]: (double_divide(sF0_fnc,double_divide(identity,double_divide(sF0_fnc,double_divide(X0,sF0_fnc))))=X0)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f33,f42])).
% 0.15/5.41 fof(f49,plain,(
% 0.15/5.41 multiply(identity,identity)=inverse(sF0_fnc)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f33,f29])).
% 0.15/5.41 fof(f54,plain,(
% 0.15/5.41 ![X0]: (double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(sF0_fnc),double_divide(X0,identity))))=X0)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f49,f14])).
% 0.15/5.41 fof(f55,plain,(
% 0.15/5.41 ![X0]: (double_divide(inverse(identity),double_divide(identity,double_divide(inverse(sF0_fnc),double_divide(X0,identity))))=X0)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f54])).
% 0.15/5.41 fof(f56,plain,(
% 0.15/5.41 ![X0]: (double_divide(sF0_fnc,double_divide(identity,double_divide(inverse(sF0_fnc),double_divide(X0,identity))))=X0)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f33,f55])).
% 0.15/5.41 fof(f57,plain,(
% 0.15/5.41 ![X0]: (double_divide(sF0_fnc,double_divide(identity,double_divide(inverse(sF0_fnc),inverse(X0))))=X0)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f56])).
% 0.15/5.41 fof(f166,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(inverse(sF0_fnc),double_divide(X1,identity))),X0),X1)))=double_divide(identity,identity))),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f49,f20])).
% 0.15/5.41 fof(f187,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(inverse(sF0_fnc),inverse(X1))),X0),X1)))=double_divide(identity,identity))),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f166])).
% 0.15/5.41 fof(f188,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(inverse(sF0_fnc),inverse(X1))),X0),X1)))=inverse(identity))),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f187])).
% 0.15/5.41 fof(f189,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(inverse(sF0_fnc),inverse(X1))),X0),X1)))=sF0_fnc)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f33,f188])).
% 0.15/5.41 fof(f311,plain,(
% 0.15/5.41 double_divide(sF0_fnc,double_divide(identity,double_divide(sF0_fnc,identity)))=identity),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f35,f43])).
% 0.15/5.41 fof(f318,plain,(
% 0.15/5.41 double_divide(sF0_fnc,double_divide(identity,inverse(sF0_fnc)))=identity),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f311])).
% 0.15/5.41 fof(f326,plain,(
% 0.15/5.41 multiply(double_divide(identity,inverse(sF0_fnc)),sF0_fnc)=inverse(identity)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f318,f15])).
% 0.15/5.41 fof(f333,plain,(
% 0.15/5.41 multiply(double_divide(identity,inverse(sF0_fnc)),sF0_fnc)=sF0_fnc),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f33,f326])).
% 0.15/5.41 fof(f335,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(sF0_fnc,double_divide(X1,double_divide(identity,inverse(sF0_fnc))))),X0),X1)))=double_divide(identity,sF0_fnc))),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f333,f20])).
% 0.15/5.41 fof(f339,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(sF0_fnc,double_divide(X1,double_divide(identity,inverse(sF0_fnc))))),X0),X1)))=identity)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f35,f335])).
% 0.15/5.41 fof(f343,plain,(
% 0.15/5.41 double_divide(sF0_fnc,double_divide(identity,identity))=inverse(sF0_fnc)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f9,f57])).
% 0.15/5.41 fof(f355,plain,(
% 0.15/5.41 double_divide(sF0_fnc,inverse(identity))=inverse(sF0_fnc)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f343])).
% 0.15/5.41 fof(f356,plain,(
% 0.15/5.41 double_divide(sF0_fnc,sF0_fnc)=inverse(sF0_fnc)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f33,f355])).
% 0.15/5.41 fof(f362,plain,(
% 0.15/5.41 double_divide(sF0_fnc,double_divide(identity,double_divide(sF0_fnc,inverse(sF0_fnc))))=sF0_fnc),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f356,f43])).
% 0.15/5.41 fof(f369,plain,(
% 0.15/5.41 double_divide(sF0_fnc,double_divide(identity,identity))=sF0_fnc),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f9,f362])).
% 0.15/5.41 fof(f370,plain,(
% 0.15/5.41 double_divide(sF0_fnc,inverse(identity))=sF0_fnc),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f369])).
% 0.15/5.41 fof(f371,plain,(
% 0.15/5.41 sF0_fnc=inverse(sF0_fnc)),
% 0.15/5.41 inference(backward_demodulation,[status(thm)],[f372,f356])).
% 0.15/5.41 fof(f372,plain,(
% 0.15/5.41 double_divide(sF0_fnc,sF0_fnc)=sF0_fnc),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f33,f370])).
% 0.15/5.41 fof(f391,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(sF0_fnc,double_divide(X1,double_divide(identity,sF0_fnc)))),X0),X1)))=identity)),
% 0.15/5.41 inference(backward_demodulation,[status(thm)],[f371,f339])).
% 0.15/5.41 fof(f398,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(sF0_fnc,inverse(X1))),X0),X1)))=sF0_fnc)),
% 0.15/5.41 inference(backward_demodulation,[status(thm)],[f371,f189])).
% 0.15/5.41 fof(f419,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(sF0_fnc,double_divide(X1,identity))),X0),X1)))=identity)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f35,f391])).
% 0.15/5.41 fof(f420,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(sF0_fnc,inverse(X1))),X0),X1)))=identity)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f419])).
% 0.15/5.41 fof(f431,plain,(
% 0.15/5.41 identity=sF0_fnc),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f420,f398])).
% 0.15/5.41 fof(f432,plain,(
% 0.15/5.41 $false),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f431,f13])).
% 0.15/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.47 % Elapsed time: 0.076872 seconds
% 0.15/5.47 % CPU time: 0.070470 seconds
% 0.15/5.47 % Total memory used: 1.829 MB
% 0.15/5.47 % Net memory used: 1.823 MB
%------------------------------------------------------------------------------