%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP484-1 : 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 : n001.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 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP484-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:20:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,axiom,(
% 0.08/0.37 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,axiom,(
% 0.08/0.37 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f5,negated_conjecture,(
% 0.08/0.37 multiply(inverse(a1),a1) != identity ),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f6,plain,(
% 0.08/0.37 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity))=X2)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f7,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f8,plain,(
% 0.08/0.37 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.37 fof(f9,plain,(
% 0.08/0.37 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.37 fof(f10,plain,(
% 0.08/0.37 ~multiply(inverse(a1),a1)=identity),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.37 fof(f11,definition,(
% 0.08/0.37 sF1_fnc=inverse(a1)),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.08/0.37 fof(f12,definition,(
% 0.08/0.37 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.08/0.37 fof(f13,plain,(
% 0.08/0.37 ~sF0_fnc=identity),
% 0.08/0.37 inference(definition_folding,[],[f10,f12,f11])).
% 0.08/0.37 fof(f14,plain,(
% 0.08/0.37 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity))=X2)),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.08/0.37 fof(f15,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.08/0.37 fof(f16,plain,(
% 0.08/0.37 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity))=X2)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.08/0.37 fof(f17,plain,(
% 0.08/0.37 identity=double_divide(a1,sF1_fnc)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.08/0.37 fof(f20,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=inverse(double_divide(X0,X1)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.08/0.37 fof(f25,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity))=X1)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.08/0.37 fof(f29,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=multiply(X1,X0))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f15,f20])).
% 0.08/0.37 fof(f32,plain,(
% 0.08/0.37 multiply(sF1_fnc,a1)=inverse(identity)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f17,f15])).
% 0.08/0.37 fof(f34,plain,(
% 0.08/0.37 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.08/0.37 fof(f40,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),sF0_fnc)=X1)),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f48,f25])).
% 0.08/0.37 fof(f45,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),sF0_fnc)=multiply(X1,X0))),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f48,f29])).
% 0.08/0.37 fof(f48,plain,(
% 0.08/0.37 sF0_fnc=inverse(identity)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f12,f32])).
% 0.08/0.37 fof(f51,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),sF0_fnc)),sF0_fnc)=X1)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f48,f40])).
% 0.08/0.37 fof(f61,plain,(
% 0.08/0.37 ![X0]: (multiply(identity,inverse(X0))=inverse(multiply(identity,X0)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f34,f34])).
% 0.08/0.37 fof(f63,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(identity,double_divide(X0,X1))=inverse(multiply(X1,X0)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f15,f34])).
% 0.08/0.37 fof(f321,plain,(
% 0.08/0.37 ![X0]: (double_divide(double_divide(X0,identity),sF0_fnc)=multiply(identity,X0))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f9,f45])).
% 0.08/0.37 fof(f335,plain,(
% 0.08/0.37 ![X0]: (double_divide(inverse(X0),sF0_fnc)=multiply(identity,X0))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f8,f321])).
% 0.08/0.37 fof(f349,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(multiply(X0,X1),sF0_fnc)=multiply(identity,double_divide(X1,X0)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f15,f335])).
% 0.08/0.37 fof(f360,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(multiply(X0,X1),sF0_fnc)=inverse(multiply(X0,X1)))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f63,f349])).
% 0.08/0.37 fof(f516,plain,(
% 0.08/0.37 ![X0,X1]: (double_divide(double_divide(X0,multiply(X1,inverse(X0))),sF0_fnc)=double_divide(identity,inverse(X1)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f45,f51])).
% 0.08/0.37 fof(f520,plain,(
% 0.08/0.37 ![X0]: (double_divide(double_divide(X0,double_divide(multiply(identity,X0),sF0_fnc)),sF0_fnc)=sF0_fnc)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f335,f51])).
% 0.08/0.37 fof(f539,plain,(
% 0.08/0.37 ![X0]: (double_divide(double_divide(X0,inverse(multiply(identity,X0))),sF0_fnc)=sF0_fnc)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f360,f520])).
% 0.08/0.37 fof(f540,plain,(
% 0.08/0.37 ![X0]: (double_divide(double_divide(X0,multiply(identity,inverse(X0))),sF0_fnc)=sF0_fnc)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f61,f539])).
% 0.08/0.37 fof(f541,plain,(
% 0.08/0.37 double_divide(identity,inverse(identity))=sF0_fnc),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f516,f540])).
% 0.08/0.37 fof(f542,plain,(
% 0.08/0.37 identity=sF0_fnc),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f9,f541])).
% 0.08/0.37 fof(f543,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f542,f13])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.028683 seconds
% 0.12/0.38 % CPU time: 0.077482 seconds
% 0.12/0.38 % Total memory used: 4.499 MB
% 0.12/0.38 % Net memory used: 4.340 MB
%------------------------------------------------------------------------------