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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 02:11:13 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.42s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  % Computer : n019.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 21 04:43:04 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.40  % Drodi V4.1.1
% 0.13/0.42  % Refutation found
% 0.13/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42  fof(f152,axiom,(
% 0.13/0.42    (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(X,universal_class)| X = Z ) ))),
% 0.13/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42  fof(f168,negated_conjecture,(
% 0.13/0.42    ordered_pair(w,x) = ordered_pair(y,z) ),
% 0.13/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42  fof(f169,negated_conjecture,(
% 0.13/0.42    member(x,universal_class) ),
% 0.13/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42  fof(f170,negated_conjecture,(
% 0.13/0.42    x != z ),
% 0.13/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42  fof(f354,plain,(
% 0.13/0.42    ![X,Z]: (((![W,Y]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(X,universal_class))|X=Z)),
% 0.13/0.42    inference(miniscoping,[status(thm)],[f152])).
% 0.13/0.42  fof(f355,plain,(
% 0.13/0.42    ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X1,universal_class)|X1=X3)),
% 0.13/0.42    inference(cnf_transformation,[status(thm)],[f354])).
% 0.13/0.42  fof(f373,plain,(
% 0.13/0.42    ordered_pair(w,x)=ordered_pair(y,z)),
% 0.13/0.42    inference(cnf_transformation,[status(thm)],[f168])).
% 0.13/0.42  fof(f374,plain,(
% 0.13/0.42    member(x,universal_class)),
% 0.13/0.42    inference(cnf_transformation,[status(thm)],[f169])).
% 0.13/0.42  fof(f375,plain,(
% 0.13/0.42    ~x=z),
% 0.13/0.42    inference(cnf_transformation,[status(thm)],[f170])).
% 0.13/0.42  fof(f437,plain,(
% 0.13/0.42    ~member(x,universal_class)|x=z),
% 0.13/0.42    inference(resolution,[status(thm)],[f355,f373])).
% 0.13/0.42  fof(f442,definition,(
% 0.13/0.42    sQ8_spl <=> (member(x,universal_class))),
% 0.13/0.42    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.42  fof(f444,plain,(
% 0.13/0.42    ~member(x,universal_class)|sQ8_spl),
% 0.13/0.42    inference(component_clause,[status(thm)],[f442])).
% 0.13/0.42  fof(f445,definition,(
% 0.13/0.42    sQ9_spl <=> (x=z)),
% 0.13/0.42    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.42  fof(f446,plain,(
% 0.13/0.42    x=z|~sQ9_spl),
% 0.13/0.42    inference(component_clause,[status(thm)],[f445])).
% 0.13/0.42  fof(f448,plain,(
% 0.13/0.42    ~sQ8_spl|sQ9_spl),
% 0.13/0.42    inference(split_clause,[status(thm)],[f437,f442,f445])).
% 0.13/0.42  fof(f457,plain,(
% 0.13/0.42    $false|sQ8_spl),
% 0.13/0.42    inference(forward_subsumption_resolution,[status(thm)],[f444,f374])).
% 0.13/0.42  fof(f458,plain,(
% 0.13/0.42    sQ8_spl),
% 0.13/0.42    inference(contradiction_clause,[status(thm)],[f457])).
% 0.13/0.42  fof(f459,plain,(
% 0.13/0.42    $false|~sQ9_spl),
% 0.13/0.42    inference(forward_subsumption_resolution,[status(thm)],[f446,f375])).
% 0.13/0.42  fof(f460,plain,(
% 0.13/0.42    ~sQ9_spl),
% 0.13/0.42    inference(contradiction_clause,[status(thm)],[f459])).
% 0.13/0.42  fof(f461,plain,(
% 0.13/0.42    $false),
% 0.13/0.42    inference(sat_refutation,[status(thm)],[f448,f458,f460])).
% 0.13/0.42  % SZS output end CNFRefutation for theBenchmark.p
% 0.44/0.47  % Elapsed time: 0.072673 seconds
% 0.44/0.47  % CPU time: 0.190948 seconds
% 0.44/0.47  % Total memory used: 107.684 MB
% 0.44/0.47  % Net memory used: 107.591 MB
%------------------------------------------------------------------------------