TSTP Solution File: SET054+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:38:51 EDT 2024

% Result   : Theorem 0.10s 0.35s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   24 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   24 (  11   ~;   7   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (  13   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X,Y] :
      ( X = Y
    <=> ( subclass(X,Y)
        & subclass(Y,X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,conjecture,
    ! [X] : subclass(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ ! [X] : subclass(X,X),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f54,plain,
    ! [X,Y] :
      ( ( X != Y
        | ( subclass(X,Y)
          & subclass(Y,X) ) )
      & ( X = Y
        | ~ subclass(X,Y)
        | ~ subclass(Y,X) ) ),
    inference(NNF_transformation,[status(esa)],[f3]) ).

fof(f55,plain,
    ( ! [X,Y] :
        ( X != Y
        | ( subclass(X,Y)
          & subclass(Y,X) ) )
    & ! [X,Y] :
        ( X = Y
        | ~ subclass(X,Y)
        | ~ subclass(Y,X) ) ),
    inference(miniscoping,[status(esa)],[f54]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( X0 != X1
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f191,plain,
    ? [X] : ~ subclass(X,X),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f192,plain,
    ~ subclass(sk0_7,sk0_7),
    inference(skolemization,[status(esa)],[f191]) ).

fof(f193,plain,
    ~ subclass(sk0_7,sk0_7),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f194,plain,
    ! [X0] : subclass(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f56]) ).

fof(f200,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f193,f194]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.02/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n011.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 21:50:46 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.35  % Drodi V3.6.0
% 0.10/0.35  % Refutation found
% 0.10/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.38  % Elapsed time: 0.024188 seconds
% 0.16/0.38  % CPU time: 0.014905 seconds
% 0.16/0.38  % Total memory used: 1.899 MB
% 0.16/0.38  % Net memory used: 1.898 MB
%------------------------------------------------------------------------------