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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 02:11:19 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n008.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 04:48:40 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.36  % Drodi V4.1.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38  fof(f1,negated_conjecture,(
% 0.13/0.38    (![X]: (( ~ element(X,a)| element(X,X) ) ))),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38  fof(f2,negated_conjecture,(
% 0.13/0.38    (![X]: (( ~ element(X,X)| element(X,a) ) ))),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38  fof(f3,negated_conjecture,(
% 0.13/0.38    (![Y,X]: (( ~ element(Y,f(X))| ~ element(Y,X) ) ))),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38  fof(f4,negated_conjecture,(
% 0.13/0.38    (![Y,X]: (( element(Y,X)| element(Y,f(X)) ) ))),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38  fof(f5,plain,(
% 0.13/0.38    ![X0]: (~element(X0,a)|element(X0,X0))),
% 0.13/0.38    inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38  fof(f6,plain,(
% 0.13/0.38    ![X0]: (~element(X0,X0)|element(X0,a))),
% 0.13/0.38    inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38  fof(f7,plain,(
% 0.13/0.38    ![X0,X1]: (~element(X0,f(X1))|~element(X0,X1))),
% 0.13/0.38    inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38  fof(f8,plain,(
% 0.13/0.38    ![X0,X1]: (element(X0,X1)|element(X0,f(X1)))),
% 0.13/0.38    inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38  fof(f10,plain,(
% 0.13/0.38    ![X0]: (element(f(X0),X0)|element(f(X0),a))),
% 0.13/0.38    inference(resolution,[status(thm)],[f8,f6])).
% 0.13/0.38  fof(f12,plain,(
% 0.13/0.38    element(f(a),f(a))),
% 0.13/0.38    inference(resolution,[status(thm)],[f10,f5])).
% 0.13/0.38  fof(f23,plain,(
% 0.13/0.38    ~element(f(a),a)),
% 0.13/0.38    inference(resolution,[status(thm)],[f12,f7])).
% 0.13/0.38  fof(f24,plain,(
% 0.13/0.38    element(f(a),a)),
% 0.13/0.38    inference(resolution,[status(thm)],[f12,f6])).
% 0.13/0.38  fof(f28,plain,(
% 0.13/0.38    $false),
% 0.13/0.38    inference(forward_subsumption_resolution,[status(thm)],[f23,f24])).
% 0.13/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41  % Elapsed time: 0.040507 seconds
% 0.13/0.41  % CPU time: 0.106956 seconds
% 0.13/0.41  % Total memory used: 16.446 MB
% 0.13/0.41  % Net memory used: 15.867 MB
%------------------------------------------------------------------------------