%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP142-1 : 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 : 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 12:36:06 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP142-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n010.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Sun Sep 20 20:02:40 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 % Drodi V4.1.1
% 0.10/0.54 % Refutation found
% 0.10/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.54 fof(f4,axiom,(
% 0.10/0.54 (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ))),
% 0.10/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f5,axiom,(
% 0.10/0.54 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.10/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f10,axiom,(
% 0.10/0.54 (![X,Y]: (least_upper_bound(X,greatest_lower_bound(X,Y)) = X ))),
% 0.10/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f16,negated_conjecture,(
% 0.10/0.54 least_upper_bound(greatest_lower_bound(a,b),a) != a ),
% 0.10/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f20,plain,(
% 0.10/0.54 ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.54 fof(f21,plain,(
% 0.10/0.54 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.54 fof(f26,plain,(
% 0.10/0.54 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X0,X1))=X0)),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.54 fof(f32,plain,(
% 0.10/0.54 ~least_upper_bound(greatest_lower_bound(a,b),a)=a),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.54 fof(f33,definition,(
% 0.10/0.54 sF1_fnc=greatest_lower_bound(a,b)),
% 0.10/0.54 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.54 fof(f34,definition,(
% 0.10/0.54 sF0_fnc=least_upper_bound(sF1_fnc,a)),
% 0.10/0.54 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.54 fof(f35,plain,(
% 0.10/0.54 ~sF0_fnc=a),
% 0.10/0.54 inference(definition_folding,[],[f32,f34,f33])).
% 0.10/0.54 fof(f36,plain,(
% 0.10/0.54 sF1_fnc=greatest_lower_bound(b,a)),
% 0.10/0.54 inference(forward_demodulation,[status(thm)],[f20,f33])).
% 0.10/0.54 fof(f37,plain,(
% 0.10/0.54 sF0_fnc=least_upper_bound(a,sF1_fnc)),
% 0.10/0.54 inference(forward_demodulation,[status(thm)],[f21,f34])).
% 0.10/0.54 fof(f50,plain,(
% 0.10/0.54 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X1,X0))=X0)),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f20,f26])).
% 0.10/0.54 fof(f54,plain,(
% 0.10/0.54 least_upper_bound(a,sF1_fnc)=a),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f36,f50])).
% 0.10/0.54 fof(f62,plain,(
% 0.10/0.54 sF0_fnc=a),
% 0.10/0.54 inference(backward_demodulation,[status(thm)],[f54,f37])).
% 0.10/0.54 fof(f64,plain,(
% 0.10/0.54 $false),
% 0.10/0.54 inference(forward_subsumption_resolution,[status(thm)],[f62,f35])).
% 0.10/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.57 % Elapsed time: 0.035559 seconds
% 0.14/0.57 % CPU time: 0.034004 seconds
% 0.14/0.57 % Total memory used: 448.848 KB
% 0.14/0.57 % Net memory used: 427.760 KB
%------------------------------------------------------------------------------