%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP182-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:36:12 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP182-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:05:17 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f4,axiom,(
% 0.08/0.36 (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f10,axiom,(
% 0.08/0.36 (![X,Y]: (least_upper_bound(X,greatest_lower_bound(X,Y)) = X ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f16,negated_conjecture,(
% 0.08/0.36 least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f20,plain,(
% 0.08/0.36 ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.36 fof(f26,plain,(
% 0.08/0.36 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X0,X1))=X0)),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.36 fof(f32,plain,(
% 0.08/0.36 ~least_upper_bound(identity,greatest_lower_bound(a,identity))=identity),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.36 fof(f33,definition,(
% 0.08/0.36 sF1_fnc=greatest_lower_bound(a,identity)),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.08/0.36 fof(f34,definition,(
% 0.08/0.36 sF0_fnc=least_upper_bound(identity,sF1_fnc)),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.08/0.36 fof(f35,plain,(
% 0.08/0.36 ~sF0_fnc=identity),
% 0.08/0.36 inference(definition_folding,[],[f32,f34,f33])).
% 0.08/0.36 fof(f41,plain,(
% 0.08/0.36 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X1,X0))=X0)),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f20,f26])).
% 0.08/0.36 fof(f45,plain,(
% 0.08/0.36 least_upper_bound(identity,sF1_fnc)=identity),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f33,f41])).
% 0.08/0.36 fof(f50,plain,(
% 0.08/0.36 sF0_fnc=identity),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f45,f34])).
% 0.08/0.36 fof(f51,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f50,f35])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.38 % Elapsed time: 0.030372 seconds
% 0.11/0.38 % CPU time: 0.026893 seconds
% 0.11/0.38 % Total memory used: 648.368 KB
% 0.11/0.38 % Net memory used: 605.648 KB
%------------------------------------------------------------------------------