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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET027-6 : 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 : n006.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 02:11:16 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n006.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 04:44:32 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.38  % Drodi V4.1.1
% 0.08/0.40  % Refutation found
% 0.08/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40  fof(f1,axiom,(
% 0.08/0.40    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.08/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40  fof(f2,axiom,(
% 0.08/0.40    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.08/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40  fof(f3,axiom,(
% 0.08/0.40    (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.08/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40  fof(f92,negated_conjecture,(
% 0.08/0.40    subclass(x,y) ),
% 0.08/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40  fof(f93,negated_conjecture,(
% 0.08/0.40    subclass(y,z) ),
% 0.08/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40  fof(f94,negated_conjecture,(
% 0.08/0.40    ~ subclass(x,z) ),
% 0.08/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40  fof(f95,plain,(
% 0.08/0.40    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.08/0.40    inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.40  fof(f96,plain,(
% 0.08/0.40    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.08/0.40    inference(cnf_transformation,[status(thm)],[f95])).
% 0.08/0.40  fof(f97,plain,(
% 0.08/0.40    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.08/0.40    inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.40  fof(f98,plain,(
% 0.08/0.40    ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.08/0.40    inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.40  fof(f200,plain,(
% 0.08/0.40    subclass(x,y)),
% 0.08/0.40    inference(cnf_transformation,[status(thm)],[f92])).
% 0.08/0.40  fof(f201,plain,(
% 0.08/0.40    subclass(y,z)),
% 0.08/0.40    inference(cnf_transformation,[status(thm)],[f93])).
% 0.08/0.40  fof(f202,plain,(
% 0.08/0.40    ~subclass(x,z)),
% 0.08/0.40    inference(cnf_transformation,[status(thm)],[f94])).
% 0.08/0.40  fof(f206,plain,(
% 0.08/0.40    ![X0]: (~member(X0,y)|member(X0,z))),
% 0.08/0.40    inference(resolution,[status(thm)],[f96,f201])).
% 0.08/0.40  fof(f207,plain,(
% 0.08/0.40    ![X0]: (~member(X0,x)|member(X0,y))),
% 0.08/0.40    inference(resolution,[status(thm)],[f96,f200])).
% 0.08/0.40  fof(f230,plain,(
% 0.08/0.40    ![X0]: (subclass(x,X0)|member(not_subclass_element(x,X0),y))),
% 0.08/0.40    inference(resolution,[status(thm)],[f97,f207])).
% 0.08/0.40  fof(f233,plain,(
% 0.08/0.40    ![X0]: (subclass(x,X0)|member(not_subclass_element(x,X0),z))),
% 0.08/0.40    inference(resolution,[status(thm)],[f230,f206])).
% 0.08/0.40  fof(f264,plain,(
% 0.08/0.40    subclass(x,z)|subclass(x,z)),
% 0.08/0.40    inference(resolution,[status(thm)],[f233,f98])).
% 0.08/0.40  fof(f266,definition,(
% 0.08/0.40    sQ6_spl <=> (subclass(x,z))),
% 0.08/0.40    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.40  fof(f267,plain,(
% 0.08/0.40    subclass(x,z)|~sQ6_spl),
% 0.08/0.40    inference(component_clause,[status(thm)],[f266])).
% 0.08/0.40  fof(f269,plain,(
% 0.08/0.40    sQ6_spl),
% 0.08/0.40    inference(split_clause,[status(thm)],[f264,f266])).
% 0.08/0.40  fof(f270,plain,(
% 0.08/0.40    $false|~sQ6_spl),
% 0.08/0.40    inference(forward_subsumption_resolution,[status(thm)],[f267,f202])).
% 0.08/0.40  fof(f271,plain,(
% 0.08/0.40    ~sQ6_spl),
% 0.08/0.40    inference(contradiction_clause,[status(thm)],[f270])).
% 0.08/0.40  fof(f272,plain,(
% 0.08/0.40    $false),
% 0.08/0.40    inference(sat_refutation,[status(thm)],[f269,f271])).
% 0.08/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42  % Elapsed time: 0.051490 seconds
% 0.08/0.42  % CPU time: 0.134967 seconds
% 0.08/0.42  % Total memory used: 75.174 MB
% 0.08/0.42  % Net memory used: 75.122 MB
%------------------------------------------------------------------------------