%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 : Wed May 31 12:33:57 EDT 2023

% Result   : Theorem 0.15s 0.55s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   17 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (;   9   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X,Y] : member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] : singleton(X) = unordered_pair(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,conjecture,
    ! [X] :
      ( singleton(member_of(X)) = X
     => member(X,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ~ ! [X] :
        ( singleton(member_of(X)) = X
       => member(X,universal_class) ),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f69,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f70,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f201,plain,
    ? [X] :
      ( singleton(member_of(X)) = X
      & ~ member(X,universal_class) ),
    inference(pre_NNF_transformation,[status(esa)],[f49]) ).

fof(f202,plain,
    ( singleton(member_of(sk0_7)) = sk0_7
    & ~ member(sk0_7,universal_class) ),
    inference(skolemization,[status(esa)],[f201]) ).

fof(f203,plain,
    singleton(member_of(sk0_7)) = sk0_7,
    inference(cnf_transformation,[status(esa)],[f202]) ).

fof(f204,plain,
    ~ member(sk0_7,universal_class),
    inference(cnf_transformation,[status(esa)],[f202]) ).

fof(f231,plain,
    ! [X0] : member(singleton(X0),universal_class),
    inference(paramodulation,[status(thm)],[f70,f69]) ).

fof(f232,plain,
    member(sk0_7,universal_class),
    inference(paramodulation,[status(thm)],[f203,f231]) ).

fof(f233,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f232,f204]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.08/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n017.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 09:40:55 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.14/0.31  % Drodi V3.5.1
% 0.15/0.55  % Refutation found
% 0.15/0.55  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55  % Elapsed time: 0.012879 seconds
% 0.15/0.55  % CPU time: 0.013096 seconds
% 0.15/0.55  % Memory used: 3.790 MB
%------------------------------------------------------------------------------