%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP189-2 : 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 : n010.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 12:36:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP189-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:06:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f5,axiom,(
% 0.14/0.37 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f11,axiom,(
% 0.14/0.37 (![X,Y]: (greatest_lower_bound(X,least_upper_bound(X,Y)) = X ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f19,negated_conjecture,(
% 0.14/0.37 greatest_lower_bound(b,least_upper_bound(a,b)) != b ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f24,plain,(
% 0.14/0.37 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.37 fof(f30,plain,(
% 0.14/0.37 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X0,X1))=X0)),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.37 fof(f38,plain,(
% 0.14/0.37 ~greatest_lower_bound(b,least_upper_bound(a,b))=b),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.37 fof(f39,definition,(
% 0.14/0.37 sF1_fnc=least_upper_bound(a,b)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.14/0.37 fof(f40,definition,(
% 0.14/0.37 sF0_fnc=greatest_lower_bound(b,sF1_fnc)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.37 fof(f41,plain,(
% 0.14/0.37 ~sF0_fnc=b),
% 0.14/0.37 inference(definition_folding,[],[f38,f40,f39])).
% 0.14/0.37 fof(f77,plain,(
% 0.14/0.37 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X1,X0))=X0)),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f24,f30])).
% 0.14/0.37 fof(f83,plain,(
% 0.14/0.37 greatest_lower_bound(b,sF1_fnc)=b),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f39,f77])).
% 0.14/0.37 fof(f93,plain,(
% 0.14/0.37 sF0_fnc=b),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f83,f40])).
% 0.14/0.37 fof(f97,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f93,f41])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.023528 seconds
% 0.14/0.39 % CPU time: 0.035308 seconds
% 0.14/0.39 % Total memory used: 961.696 KB
% 0.14/0.39 % Net memory used: 925.856 KB
%------------------------------------------------------------------------------