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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET147-6 : 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 : n004.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 02:11:39 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.55s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET147-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n004.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 04:56:34 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.36  % Drodi V4.1.1
% 0.13/0.55  % Refutation found
% 0.13/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.55  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.55  fof(f1,axiom,(
% 0.13/0.55    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f2,axiom,(
% 0.13/0.55    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f3,axiom,(
% 0.13/0.55    (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f4,axiom,(
% 0.13/0.55    (![X]: (subclass(X,universal_class) ))),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f7,axiom,(
% 0.13/0.55    (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f22,axiom,(
% 0.13/0.55    (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f23,axiom,(
% 0.13/0.55    (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f113,negated_conjecture,(
% 0.13/0.55    intersection(universal_class,x) != x ),
% 0.13/0.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55  fof(f114,plain,(
% 0.13/0.55    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.13/0.55    inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.55  fof(f115,plain,(
% 0.13/0.55    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f114])).
% 0.13/0.55  fof(f116,plain,(
% 0.13/0.55    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.55  fof(f117,plain,(
% 0.13/0.55    ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.55  fof(f118,plain,(
% 0.13/0.55    ![X0]: (subclass(X0,universal_class))),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.55  fof(f121,plain,(
% 0.13/0.55    ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.55  fof(f143,plain,(
% 0.13/0.55    ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.13/0.55    inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.55  fof(f144,plain,(
% 0.13/0.55    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f143])).
% 0.13/0.55  fof(f145,plain,(
% 0.13/0.55    ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.55  fof(f245,plain,(
% 0.13/0.55    ~intersection(universal_class,x)=x),
% 0.13/0.55    inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/0.55  fof(f281,plain,(
% 0.13/0.55    ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X1))),
% 0.13/0.55    inference(resolution,[status(thm)],[f116,f144])).
% 0.13/0.55  fof(f283,plain,(
% 0.13/0.55    ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 0.13/0.55    inference(resolution,[status(thm)],[f116,f115])).
% 0.13/0.55  fof(f284,plain,(
% 0.13/0.55    ![X0,X1,X2]: (subclass(X0,X1)|~member(not_subclass_element(X0,X1),X2)|member(not_subclass_element(X0,X1),intersection(X2,X0)))),
% 0.13/0.55    inference(resolution,[status(thm)],[f116,f145])).
% 0.13/0.55  fof(f287,plain,(
% 0.13/0.55    ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),universal_class))),
% 0.13/0.55    inference(resolution,[status(thm)],[f283,f118])).
% 0.13/0.55  fof(f322,plain,(
% 0.13/0.55    ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 0.13/0.55    inference(resolution,[status(thm)],[f281,f117])).
% 0.13/0.55  fof(f330,plain,(
% 0.13/0.55    ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 0.13/0.55    inference(duplicate_literals_removal,[status(thm)],[f322])).
% 0.13/0.55  fof(f335,plain,(
% 0.13/0.55    ![X0,X1]: (~subclass(X0,intersection(X1,X0))|X0=intersection(X1,X0))),
% 0.13/0.55    inference(resolution,[status(thm)],[f330,f121])).
% 0.13/0.55  fof(f367,plain,(
% 0.13/0.55    ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),intersection(universal_class,X0))|subclass(X0,X1))),
% 0.13/0.55    inference(resolution,[status(thm)],[f284,f287])).
% 0.13/0.55  fof(f371,plain,(
% 0.13/0.55    ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),intersection(universal_class,X0)))),
% 0.13/0.55    inference(duplicate_literals_removal,[status(thm)],[f367])).
% 0.13/0.55  fof(f627,plain,(
% 0.13/0.55    ![X0]: (subclass(X0,intersection(universal_class,X0))|subclass(X0,intersection(universal_class,X0)))),
% 0.13/0.57    inference(resolution,[status(thm)],[f371,f117])).
% 0.13/0.57  fof(f634,plain,(
% 0.13/0.57    ![X0]: (subclass(X0,intersection(universal_class,X0)))),
% 0.13/0.57    inference(duplicate_literals_removal,[status(thm)],[f627])).
% 0.13/0.57  fof(f637,plain,(
% 0.13/0.57    ![X0]: (X0=intersection(universal_class,X0))),
% 0.13/0.57    inference(resolution,[status(thm)],[f634,f335])).
% 0.13/0.57  fof(f642,plain,(
% 0.13/0.57    ~x=x),
% 0.13/0.57    inference(backward_demodulation,[status(thm)],[f637,f245])).
% 0.13/0.57  fof(f650,plain,(
% 0.13/0.57    $false),
% 0.13/0.57    inference(trivial_equality_resolution,[status(thm)],[f642])).
% 0.13/0.57  % SZS output end CNFRefutation for theBenchmark.p
% 0.57/0.58  % Elapsed time: 0.214781 seconds
% 0.57/0.58  % CPU time: 1.451993 seconds
% 0.57/0.58  % Total memory used: 131.756 MB
% 0.57/0.58  % Net memory used: 128.678 MB
%------------------------------------------------------------------------------