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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SET059-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 02:09:06 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.40s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   22 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X,Y] :
      ( subclass(X,Y)
      | ~ member(not_subclass_element(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] :
      ( X = Y
      | ~ subclass(Y,X)
      | ~ subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f98,negated_conjecture,
    member(not_subclass_element(x,y),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f99,negated_conjecture,
    member(not_subclass_element(y,x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f104,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f217,plain,
    member(not_subclass_element(x,y),y),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f218,plain,
    member(not_subclass_element(y,x),x),
    inference(cnf_transformation,[status(thm)],[f99]) ).

fof(f219,plain,
    x != y,
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f223,plain,
    subclass(y,x),
    inference(resolution,[status(thm)],[f104,f218]) ).

fof(f224,plain,
    subclass(x,y),
    inference(resolution,[status(thm)],[f104,f217]) ).

fof(f233,plain,
    ( y = x
    | ~ subclass(y,x) ),
    inference(resolution,[status(thm)],[f108,f224]) ).

fof(f237,plain,
    y = x,
    inference(forward_subsumption_resolution,[status(thm)],[f233,f223]) ).

fof(f244,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f237,f219]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET059-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n010.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 04:48:40 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.39  % Drodi V4.1.1
% 0.11/0.40  % Refutation found
% 0.11/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42  % Elapsed time: 0.046666 seconds
% 0.11/0.42  % CPU time: 0.123727 seconds
% 0.11/0.42  % Total memory used: 59.102 MB
% 0.11/0.42  % Net memory used: 59.070 MB
%------------------------------------------------------------------------------