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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET067-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 02:11:25 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET067-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43  % Computer : n011.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Mon Sep 21 04:49:25 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 0.17/0.47  % Drodi V4.1.1
% 0.17/0.50  % Refutation found
% 0.17/0.50  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.50  % SZS output start CNFRefutation for theBenchmark
% 0.17/0.50  fof(f1,axiom,(
% 0.17/0.50    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f2,axiom,(
% 0.17/0.50    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f3,axiom,(
% 0.17/0.50    (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f4,axiom,(
% 0.17/0.50    (![X]: (subclass(X,universal_class) ))),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f8,axiom,(
% 0.17/0.50    (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f9,axiom,(
% 0.17/0.50    (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f12,axiom,(
% 0.17/0.50    (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f109,negated_conjecture,(
% 0.17/0.50    ~ subclass(singleton(x),unordered_pair(x,y)) ),
% 0.17/0.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50  fof(f110,plain,(
% 0.17/0.50    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.17/0.50    inference(miniscoping,[status(thm)],[f1])).
% 0.17/0.50  fof(f111,plain,(
% 0.17/0.50    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f110])).
% 0.17/0.50  fof(f112,plain,(
% 0.17/0.50    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.50  fof(f113,plain,(
% 0.17/0.50    ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.50  fof(f114,plain,(
% 0.17/0.50    ![X0]: (subclass(X0,universal_class))),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.50  fof(f118,plain,(
% 0.17/0.50    ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.17/0.50    inference(miniscoping,[status(thm)],[f8])).
% 0.17/0.50  fof(f119,plain,(
% 0.17/0.50    ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f118])).
% 0.17/0.50  fof(f120,plain,(
% 0.17/0.50    ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.17/0.50    inference(miniscoping,[status(thm)],[f9])).
% 0.17/0.50  fof(f121,plain,(
% 0.17/0.50    ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f120])).
% 0.17/0.50  fof(f125,plain,(
% 0.17/0.50    ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.50  fof(f237,plain,(
% 0.17/0.50    ~subclass(singleton(x),unordered_pair(x,y))),
% 0.17/0.50    inference(cnf_transformation,[status(thm)],[f109])).
% 0.17/0.50  fof(f248,plain,(
% 0.17/0.50    ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.17/0.50    inference(paramodulation,[status(thm)],[f125,f119])).
% 0.17/0.50  fof(f249,plain,(
% 0.17/0.50    ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.17/0.50    inference(duplicate_literals_removal,[status(thm)],[f248])).
% 0.17/0.50  fof(f275,plain,(
% 0.17/0.50    ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 0.17/0.51    inference(resolution,[status(thm)],[f249,f112])).
% 0.17/0.51  fof(f347,plain,(
% 0.17/0.51    not_subclass_element(singleton(x),unordered_pair(x,y))=x),
% 0.17/0.51    inference(resolution,[status(thm)],[f275,f237])).
% 0.17/0.51  fof(f355,plain,(
% 0.17/0.51    ~member(x,unordered_pair(x,y))|subclass(singleton(x),unordered_pair(x,y))),
% 0.17/0.51    inference(paramodulation,[status(thm)],[f347,f113])).
% 0.17/0.51  fof(f356,plain,(
% 0.17/0.51    member(x,singleton(x))|subclass(singleton(x),unordered_pair(x,y))),
% 0.17/0.51    inference(paramodulation,[status(thm)],[f347,f112])).
% 0.17/0.51  fof(f357,plain,(
% 0.17/0.51    ~member(x,unordered_pair(x,y))),
% 0.17/0.51    inference(forward_subsumption_resolution,[status(thm)],[f355,f237])).
% 0.17/0.51  fof(f358,plain,(
% 0.17/0.51    member(x,singleton(x))),
% 0.17/0.51    inference(forward_subsumption_resolution,[status(thm)],[f356,f237])).
% 0.17/0.51  fof(f359,plain,(
% 0.17/0.51    ~member(x,universal_class)),
% 0.17/0.51    inference(resolution,[status(thm)],[f357,f121])).
% 0.17/0.51  fof(f361,plain,(
% 0.17/0.51    ![X0]: (~subclass(X0,universal_class)|~member(x,X0))),
% 0.17/0.51    inference(resolution,[status(thm)],[f359,f111])).
% 0.17/0.51  fof(f363,plain,(
% 0.17/0.51    ![X0]: (~member(x,X0))),
% 0.17/0.51    inference(forward_subsumption_resolution,[status(thm)],[f361,f114])).
% 0.17/0.51  fof(f364,plain,(
% 0.17/0.51    $false),
% 0.17/0.51    inference(backward_subsumption_resolution,[status(thm)],[f358,f363])).
% 0.17/0.51  % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.58  % Elapsed time: 0.131646 seconds
% 0.17/0.58  % CPU time: 0.248464 seconds
% 0.17/0.58  % Total memory used: 30.953 MB
% 0.17/0.58  % Net memory used: 30.802 MB
%------------------------------------------------------------------------------