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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 02:11:42 PM UTC 2026

% Result   : Unsatisfiable 0.17s 5.72s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.40  % Computer : n020.cluster.edu
% 0.13/5.40  % Model    : x86_64 x86_64
% 0.13/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40  % Memory   : 8046.5625MB
% 0.13/5.40  % OS       : Linux 6.8.0-71-generic
% 0.13/5.40  % CPULimit : 300
% 0.13/5.40  % WCLimit  : 300
% 0.13/5.40  % DateTime : Mon Sep 21 04:58:24 UTC 2026
% 0.13/5.41  % CPUTime  : 
% 0.13/5.42  % Drodi V4.1.1
% 0.17/5.72  % Refutation found
% 0.17/5.72  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.72  % SZS output start CNFRefutation for theBenchmark
% 0.17/5.72  fof(f1,axiom,(
% 0.17/5.72    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f4,axiom,(
% 0.17/5.72    (![X]: (subclass(X,universal_class) ))),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f22,axiom,(
% 0.17/5.72    (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f24,axiom,(
% 0.17/5.72    (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f25,axiom,(
% 0.17/5.72    (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f26,axiom,(
% 0.17/5.72    (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f113,negated_conjecture,(
% 0.17/5.72    member(x,z) ),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f114,negated_conjecture,(
% 0.17/5.72    ~ member(x,union(y,z)) ),
% 0.17/5.72    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.72  fof(f115,plain,(
% 0.17/5.72    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.17/5.72    inference(miniscoping,[status(thm)],[f1])).
% 0.17/5.72  fof(f116,plain,(
% 0.17/5.72    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f115])).
% 0.17/5.72  fof(f119,plain,(
% 0.17/5.72    ![X0]: (subclass(X0,universal_class))),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/5.72  fof(f144,plain,(
% 0.17/5.72    ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.17/5.72    inference(miniscoping,[status(thm)],[f22])).
% 0.17/5.72  fof(f145,plain,(
% 0.17/5.72    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f144])).
% 0.17/5.72  fof(f147,plain,(
% 0.17/5.72    ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f24])).
% 0.17/5.72  fof(f148,plain,(
% 0.17/5.72    ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f25])).
% 0.17/5.72  fof(f149,plain,(
% 0.17/5.72    ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/5.72  fof(f246,plain,(
% 0.17/5.72    member(x,z)),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f113])).
% 0.17/5.72  fof(f247,plain,(
% 0.17/5.72    ~member(x,union(y,z))),
% 0.17/5.72    inference(cnf_transformation,[status(thm)],[f114])).
% 0.17/5.72  fof(f339,plain,(
% 0.17/5.72    ![X0]: (~subclass(z,X0)|member(x,X0))),
% 0.17/5.72    inference(resolution,[status(thm)],[f116,f246])).
% 0.17/5.72  fof(f351,plain,(
% 0.17/5.72    member(x,universal_class)),
% 0.17/5.72    inference(resolution,[status(thm)],[f339,f119])).
% 0.17/5.72  fof(f2744,plain,(
% 0.17/5.72    ~member(x,complement(z))),
% 0.17/5.72    inference(resolution,[status(thm)],[f147,f246])).
% 0.17/5.72  fof(f2753,plain,(
% 0.17/5.72    ![X0]: (member(x,complement(X0))|member(x,X0))),
% 0.17/5.72    inference(resolution,[status(thm)],[f148,f351])).
% 0.17/5.72  fof(f2806,plain,(
% 0.17/5.72    ![X0,X1]: (member(x,union(X0,X1))|member(x,intersection(complement(X0),complement(X1))))),
% 0.17/5.72    inference(paramodulation,[status(thm)],[f149,f2753])).
% 0.17/5.72  fof(f5903,plain,(
% 0.17/5.72    ![X0,X1]: (member(x,union(X0,X1))|member(x,complement(X1)))),
% 0.17/5.72    inference(resolution,[status(thm)],[f2806,f145])).
% 0.17/5.72  fof(f6148,plain,(
% 0.17/5.72    member(x,complement(z))),
% 0.17/5.72    inference(resolution,[status(thm)],[f5903,f247])).
% 0.17/5.72  fof(f6164,plain,(
% 0.17/5.72    $false),
% 0.17/5.72    inference(forward_subsumption_resolution,[status(thm)],[f6148,f2744])).
% 0.17/5.72  % SZS output end CNFRefutation for theBenchmark.p
% 0.17/5.73  % Elapsed time: 0.311854 seconds
% 0.17/5.73  % CPU time: 2.282283 seconds
% 0.17/5.73  % Total memory used: 189.877 MB
% 0.17/5.73  % Net memory used: 187.624 MB
%------------------------------------------------------------------------------