%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP182-2 : 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 12:36:12 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP182-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 20:04:40 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f10,axiom,(
% 0.13/0.37 (![X,Y]: (least_upper_bound(X,greatest_lower_bound(X,Y)) = X ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f19,negated_conjecture,(
% 0.13/0.37 least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f29,plain,(
% 0.13/0.37 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X0,X1))=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 ~least_upper_bound(identity,greatest_lower_bound(a,identity))=identity),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.37 fof(f39,definition,(
% 0.13/0.37 sF1_fnc=greatest_lower_bound(a,identity)),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.13/0.37 fof(f40,definition,(
% 0.13/0.37 sF0_fnc=least_upper_bound(identity,sF1_fnc)),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 ~sF0_fnc=identity),
% 0.13/0.37 inference(definition_folding,[],[f38,f40,f39])).
% 0.13/0.37 fof(f55,plain,(
% 0.13/0.37 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X1,X0))=X0)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f23,f29])).
% 0.13/0.37 fof(f59,plain,(
% 0.13/0.37 least_upper_bound(identity,sF1_fnc)=identity),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f39,f55])).
% 0.13/0.37 fof(f67,plain,(
% 0.13/0.37 sF0_fnc=identity),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f59,f40])).
% 0.13/0.37 fof(f69,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f67,f41])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.021332 seconds
% 0.13/0.38 % CPU time: 0.032156 seconds
% 0.13/0.38 % Total memory used: 1.113 MB
% 0.13/0.38 % Net memory used: 1.055 MB
%------------------------------------------------------------------------------