%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP581-1 : 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 : n016.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 12:36:51 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP581-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:21:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,axiom,(
% 0.14/0.39 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 multiply(inverse(a1),a1) != identity ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,plain,(
% 0.14/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity))=X2)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f7,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f8,plain,(
% 0.14/0.39 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f9,plain,(
% 0.14/0.39 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f10,plain,(
% 0.14/0.39 ~multiply(inverse(a1),a1)=identity),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f11,definition,(
% 0.14/0.39 sF1_fnc=inverse(a1)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.14/0.39 fof(f12,definition,(
% 0.14/0.39 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 ~sF0_fnc=identity),
% 0.14/0.39 inference(definition_folding,[],[f10,f12,f11])).
% 0.14/0.39 fof(f14,plain,(
% 0.14/0.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity))=X2)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.14/0.39 fof(f15,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.14/0.39 fof(f16,plain,(
% 0.14/0.39 identity=double_divide(a1,sF1_fnc)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.14/0.39 fof(f22,plain,(
% 0.14/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),inverse(identity))=X1)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.14/0.39 fof(f26,plain,(
% 0.14/0.39 multiply(sF1_fnc,a1)=inverse(identity)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),sF0_fnc)=X1)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f38,f22])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 sF0_fnc=inverse(identity)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f12,f26])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 identity=double_divide(identity,sF0_fnc)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f38,f9])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 multiply(sF0_fnc,identity)=inverse(identity)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f43,f15])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 multiply(sF0_fnc,identity)=sF0_fnc),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f38,f44])).
% 0.14/0.39 fof(f222,plain,(
% 0.14/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),sF0_fnc)=X0)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f9,f32])).
% 0.14/0.39 fof(f234,plain,(
% 0.14/0.39 ![X0]: (double_divide(double_divide(identity,inverse(double_divide(identity,X0))),sF0_fnc)=X0)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f8,f222])).
% 0.14/0.39 fof(f235,plain,(
% 0.14/0.39 ![X0]: (double_divide(double_divide(identity,multiply(X0,identity)),sF0_fnc)=X0)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f15,f234])).
% 0.14/0.39 fof(f256,plain,(
% 0.14/0.39 double_divide(double_divide(identity,sF0_fnc),sF0_fnc)=sF0_fnc),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f45,f235])).
% 0.14/0.39 fof(f266,plain,(
% 0.14/0.39 double_divide(identity,sF0_fnc)=sF0_fnc),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f43,f256])).
% 0.14/0.39 fof(f267,plain,(
% 0.14/0.39 identity=sF0_fnc),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f43,f266])).
% 0.14/0.39 fof(f268,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f267,f13])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.034859 seconds
% 0.14/0.41 % CPU time: 0.078493 seconds
% 0.14/0.41 % Total memory used: 3.704 MB
% 0.14/0.41 % Net memory used: 3.538 MB
%------------------------------------------------------------------------------