%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP182-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:36:12 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP182-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n016.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 20:09:08 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.46 % Refutation found
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.46 fof(f5,axiom,(
% 0.18/0.46 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f11,axiom,(
% 0.18/0.46 (![X,Y]: (greatest_lower_bound(X,least_upper_bound(X,Y)) = X ))),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f16,negated_conjecture,(
% 0.18/0.46 greatest_lower_bound(identity,least_upper_bound(a,identity)) != identity ),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f21,plain,(
% 0.18/0.46 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.46 fof(f27,plain,(
% 0.18/0.46 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X0,X1))=X0)),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/0.46 fof(f32,plain,(
% 0.18/0.46 ~greatest_lower_bound(identity,least_upper_bound(a,identity))=identity),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.46 fof(f33,definition,(
% 0.18/0.46 sF1_fnc=least_upper_bound(a,identity)),
% 0.18/0.46 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.18/0.46 fof(f34,definition,(
% 0.18/0.46 sF0_fnc=greatest_lower_bound(identity,sF1_fnc)),
% 0.18/0.46 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.18/0.46 fof(f35,plain,(
% 0.18/0.46 ~sF0_fnc=identity),
% 0.18/0.46 inference(definition_folding,[],[f32,f34,f33])).
% 0.18/0.46 fof(f71,plain,(
% 0.18/0.46 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X1,X0))=X0)),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f21,f27])).
% 0.18/0.46 fof(f77,plain,(
% 0.18/0.46 greatest_lower_bound(identity,sF1_fnc)=identity),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f33,f71])).
% 0.18/0.46 fof(f87,plain,(
% 0.18/0.46 sF0_fnc=identity),
% 0.18/0.46 inference(backward_demodulation,[status(thm)],[f77,f34])).
% 0.18/0.46 fof(f91,plain,(
% 0.18/0.46 $false),
% 0.18/0.46 inference(forward_subsumption_resolution,[status(thm)],[f87,f35])).
% 0.18/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.52 % Elapsed time: 0.073981 seconds
% 0.18/0.52 % CPU time: 0.030748 seconds
% 0.18/0.52 % Total memory used: 259.376 KB
% 0.18/0.52 % Net memory used: 258.368 KB
%------------------------------------------------------------------------------